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Finding the Fourth Proportional to 768,402.97, 1,153,416.08 and 431,731.33

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Solution

The fourth proportional to 768,402.97, 1,153,416.08 and 431,731.33 is: 648,053.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,402.97 : 1,153,416.08 = 431,731.33 : x
  2. Step 2: Convert to fraction form
    768,402.97/1,153,416.08 = 431,731.33/x
  3. Step 3: Cross multiply
    768,402.97x = 1,153,416.08 × 431,731.33
  4. Step 4: Simplify right side
    768,402.97x = 497,965,856,103.13
  5. Step 5: Solve for x
    x = 497,965,856,103.13/768,402.97
  6. Step 6: Final answer
    x = 648,053.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.