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Finding the Fourth Proportional to 523,637.80, 785,456.70 and 257,917.30

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Solution

The fourth proportional to 523,637.80, 785,456.70 and 257,917.30 is: 386,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,637.80 : 785,456.70 = 257,917.30 : x
  2. Step 2: Convert to fraction form
    523,637.80/785,456.70 = 257,917.30/x
  3. Step 3: Cross multiply
    523,637.80x = 785,456.70 × 257,917.30
  4. Step 4: Simplify right side
    523,637.80x = 202,582,871,330.91
  5. Step 5: Solve for x
    x = 202,582,871,330.91/523,637.80
  6. Step 6: Final answer
    x = 386,875.95

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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.