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Finding the Fourth Proportional to 415,541.40, 573,497.64 and 234,288.24

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Solution

The fourth proportional to 415,541.40, 573,497.64 and 234,288.24 is: 323,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,541.40 : 573,497.64 = 234,288.24 : x
  2. Step 2: Convert to fraction form
    415,541.40/573,497.64 = 234,288.24/x
  3. Step 3: Cross multiply
    415,541.40x = 573,497.64 × 234,288.24
  4. Step 4: Simplify right side
    415,541.40x = 134,363,752,719.75
  5. Step 5: Solve for x
    x = 134,363,752,719.75/415,541.40
  6. Step 6: Final answer
    x = 323,346.25

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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.