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Finding the Fourth Proportional to 409,531.88, 565,442.16 and 287,284.16

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Solution

The fourth proportional to 409,531.88, 565,442.16 and 287,284.16 is: 396,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,531.88 : 565,442.16 = 287,284.16 : x
  2. Step 2: Convert to fraction form
    409,531.88/565,442.16 = 287,284.16/x
  3. Step 3: Cross multiply
    409,531.88x = 565,442.16 × 287,284.16
  4. Step 4: Simplify right side
    409,531.88x = 162,442,575,964.19
  5. Step 5: Solve for x
    x = 162,442,575,964.19/409,531.88
  6. Step 6: Final answer
    x = 396,654.29

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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.