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Finding the Fourth Proportional to 369,526.32, 509,946.12 and 199,760.76

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Solution

The fourth proportional to 369,526.32, 509,946.12 and 199,760.76 is: 275,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,526.32 : 509,946.12 = 199,760.76 : x
  2. Step 2: Convert to fraction form
    369,526.32/509,946.12 = 199,760.76/x
  3. Step 3: Cross multiply
    369,526.32x = 509,946.12 × 199,760.76
  4. Step 4: Simplify right side
    369,526.32x = 101,867,224,490.25
  5. Step 5: Solve for x
    x = 101,867,224,490.25/369,526.32
  6. Step 6: Final answer
    x = 275,669.74

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.