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Finding the Fourth Proportional to 509,311.60, 763,409.40 and 256,188.40

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Solution

The fourth proportional to 509,311.60, 763,409.40 and 256,188.40 is: 384,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,311.60 : 763,409.40 = 256,188.40 : x
  2. Step 2: Convert to fraction form
    509,311.60/763,409.40 = 256,188.40/x
  3. Step 3: Cross multiply
    509,311.60x = 763,409.40 × 256,188.40
  4. Step 4: Simplify right side
    509,311.60x = 195,576,632,730.96
  5. Step 5: Solve for x
    x = 195,576,632,730.96/509,311.60
  6. Step 6: Final answer
    x = 384,001.92

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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.