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Finding the Fourth Proportional to 728,600.12, 1,005,472.32 and 406,323.80

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Solution

The fourth proportional to 728,600.12, 1,005,472.32 and 406,323.80 is: 560,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,600.12 : 1,005,472.32 = 406,323.80 : x
  2. Step 2: Convert to fraction form
    728,600.12/1,005,472.32 = 406,323.80/x
  3. Step 3: Cross multiply
    728,600.12x = 1,005,472.32 × 406,323.80
  4. Step 4: Simplify right side
    728,600.12x = 408,547,333,857.22
  5. Step 5: Solve for x
    x = 408,547,333,857.22/728,600.12
  6. Step 6: Final answer
    x = 560,729.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.