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Finding the Fourth Proportional to 509,875.86, 764,889.12 and 189,946.92

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Solution

The fourth proportional to 509,875.86, 764,889.12 and 189,946.92 is: 284,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,875.86 : 764,889.12 = 189,946.92 : x
  2. Step 2: Convert to fraction form
    509,875.86/764,889.12 = 189,946.92/x
  3. Step 3: Cross multiply
    509,875.86x = 764,889.12 × 189,946.92
  4. Step 4: Simplify right side
    509,875.86x = 145,288,332,485.51
  5. Step 5: Solve for x
    x = 145,288,332,485.51/509,875.86
  6. Step 6: Final answer
    x = 284,948.44

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.