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Finding the Fourth Proportional to 472,066.29, 707,412.56 and 291,766.77

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Solution

The fourth proportional to 472,066.29, 707,412.56 and 291,766.77 is: 437,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,066.29 : 707,412.56 = 291,766.77 : x
  2. Step 2: Convert to fraction form
    472,066.29/707,412.56 = 291,766.77/x
  3. Step 3: Cross multiply
    472,066.29x = 707,412.56 × 291,766.77
  4. Step 4: Simplify right side
    472,066.29x = 206,399,476,229.80
  5. Step 5: Solve for x
    x = 206,399,476,229.80/472,066.29
  6. Step 6: Final answer
    x = 437,225.62

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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.