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Finding the Fourth Proportional to 728,775.64, 1,005,712.16 and 406,506.62

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Solution

The fourth proportional to 728,775.64, 1,005,712.16 and 406,506.62 is: 560,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,775.64 : 1,005,712.16 = 406,506.62 : x
  2. Step 2: Convert to fraction form
    728,775.64/1,005,712.16 = 406,506.62/x
  3. Step 3: Cross multiply
    728,775.64x = 1,005,712.16 × 406,506.62
  4. Step 4: Simplify right side
    728,775.64x = 408,828,650,854.50
  5. Step 5: Solve for x
    x = 408,828,650,854.50/728,775.64
  6. Step 6: Final answer
    x = 560,980.13

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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.