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Finding the Fourth Proportional to 415,174.68, 572,702.40 and 262,158.48

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Solution

The fourth proportional to 415,174.68, 572,702.40 and 262,158.48 is: 361,628.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,174.68 : 572,702.40 = 262,158.48 : x
  2. Step 2: Convert to fraction form
    415,174.68/572,702.40 = 262,158.48/x
  3. Step 3: Cross multiply
    415,174.68x = 572,702.40 × 262,158.48
  4. Step 4: Simplify right side
    415,174.68x = 150,138,790,676.35
  5. Step 5: Solve for x
    x = 150,138,790,676.35/415,174.68
  6. Step 6: Final answer
    x = 361,628.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.