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Finding the Fourth Proportional to 413,633.60, 570,792.44 and 232,353.17

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Solution

The fourth proportional to 413,633.60, 570,792.44 and 232,353.17 is: 320,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,633.60 : 570,792.44 = 232,353.17 : x
  2. Step 2: Convert to fraction form
    413,633.60/570,792.44 = 232,353.17/x
  3. Step 3: Cross multiply
    413,633.60x = 570,792.44 × 232,353.17
  4. Step 4: Simplify right side
    413,633.60x = 132,625,428,830.31
  5. Step 5: Solve for x
    x = 132,625,428,830.31/413,633.60
  6. Step 6: Final answer
    x = 320,635.05

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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.