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Finding the Fourth Proportional to 506,565.65, 759,849.37 and 207,045.97

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Solution

The fourth proportional to 506,565.65, 759,849.37 and 207,045.97 is: 310,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,565.65 : 759,849.37 = 207,045.97 : x
  2. Step 2: Convert to fraction form
    506,565.65/759,849.37 = 207,045.97/x
  3. Step 3: Cross multiply
    506,565.65x = 759,849.37 × 207,045.97
  4. Step 4: Simplify right side
    506,565.65x = 157,323,747,448.30
  5. Step 5: Solve for x
    x = 157,323,747,448.30/506,565.65
  6. Step 6: Final answer
    x = 310,569.31

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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.