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Finding the Fourth Proportional to 415,434.30, 623,151.45 and 149,235.90

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Solution

The fourth proportional to 415,434.30, 623,151.45 and 149,235.90 is: 223,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,434.30 : 623,151.45 = 149,235.90 : x
  2. Step 2: Convert to fraction form
    415,434.30/623,151.45 = 149,235.90/x
  3. Step 3: Cross multiply
    415,434.30x = 623,151.45 × 149,235.90
  4. Step 4: Simplify right side
    415,434.30x = 92,996,567,477.06
  5. Step 5: Solve for x
    x = 92,996,567,477.06/415,434.30
  6. Step 6: Final answer
    x = 223,853.85

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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.