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Finding the Fourth Proportional to 695,869.14, 960,283.10 and 409,407.64

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Solution

The fourth proportional to 695,869.14, 960,283.10 and 409,407.64 is: 564,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,869.14 : 960,283.10 = 409,407.64 : x
  2. Step 2: Convert to fraction form
    695,869.14/960,283.10 = 409,407.64/x
  3. Step 3: Cross multiply
    695,869.14x = 960,283.10 × 409,407.64
  4. Step 4: Simplify right side
    695,869.14x = 393,147,237,702.88
  5. Step 5: Solve for x
    x = 393,147,237,702.88/695,869.14
  6. Step 6: Final answer
    x = 564,972.95

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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.