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Finding the Fourth Proportional to 531,565.24, 797,212.02 and 157,500.76

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Solution

The fourth proportional to 531,565.24, 797,212.02 and 157,500.76 is: 236,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,565.24 : 797,212.02 = 157,500.76 : x
  2. Step 2: Convert to fraction form
    531,565.24/797,212.02 = 157,500.76/x
  3. Step 3: Cross multiply
    531,565.24x = 797,212.02 × 157,500.76
  4. Step 4: Simplify right side
    531,565.24x = 125,561,499,031.14
  5. Step 5: Solve for x
    x = 125,561,499,031.14/531,565.24
  6. Step 6: Final answer
    x = 236,210.89

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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.