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Finding the Fourth Proportional to 415,550, 623,428.68 and 120,062

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Solution

The fourth proportional to 415,550, 623,428.68 and 120,062 is: 180,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,550 : 623,428.68 = 120,062 : x
  2. Step 2: Convert to fraction form
    415,550/623,428.68 = 120,062/x
  3. Step 3: Cross multiply
    415,550x = 623,428.68 × 120,062
  4. Step 4: Simplify right side
    415,550x = 74,850,094,178.16
  5. Step 5: Solve for x
    x = 74,850,094,178.16/415,550
  6. Step 6: Final answer
    x = 180,122.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.