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Finding the Fourth Proportional to 539,901.50, 745,064.14 and 313,561.58

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Solution

The fourth proportional to 539,901.50, 745,064.14 and 313,561.58 is: 432,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,901.50 : 745,064.14 = 313,561.58 : x
  2. Step 2: Convert to fraction form
    539,901.50/745,064.14 = 313,561.58/x
  3. Step 3: Cross multiply
    539,901.50x = 745,064.14 × 313,561.58
  4. Step 4: Simplify right side
    539,901.50x = 233,623,488,939.74
  5. Step 5: Solve for x
    x = 233,623,488,939.74/539,901.50
  6. Step 6: Final answer
    x = 432,715.02

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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.