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Finding the Fourth Proportional to 415,548, 623,425.68 and 120,060

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Solution

The fourth proportional to 415,548, 623,425.68 and 120,060 is: 180,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,548 : 623,425.68 = 120,060 : x
  2. Step 2: Convert to fraction form
    415,548/623,425.68 = 120,060/x
  3. Step 3: Cross multiply
    415,548x = 623,425.68 × 120,060
  4. Step 4: Simplify right side
    415,548x = 74,848,487,140.80
  5. Step 5: Solve for x
    x = 74,848,487,140.80/415,548
  6. Step 6: Final answer
    x = 180,119.96

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Why These Related Problems?

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