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Finding the Fourth Proportional to 415,152.48, 622,702.80 and 165,655.20

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Solution

The fourth proportional to 415,152.48, 622,702.80 and 165,655.20 is: 248,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,152.48 : 622,702.80 = 165,655.20 : x
  2. Step 2: Convert to fraction form
    415,152.48/622,702.80 = 165,655.20/x
  3. Step 3: Cross multiply
    415,152.48x = 622,702.80 × 165,655.20
  4. Step 4: Simplify right side
    415,152.48x = 103,153,956,874.56
  5. Step 5: Solve for x
    x = 103,153,956,874.56/415,152.48
  6. Step 6: Final answer
    x = 248,472.46

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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.