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Finding the Fourth Proportional to 415,715.60, 623,573.40 and 361,648.40

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Solution

The fourth proportional to 415,715.60, 623,573.40 and 361,648.40 is: 542,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,715.60 : 623,573.40 = 361,648.40 : x
  2. Step 2: Convert to fraction form
    415,715.60/623,573.40 = 361,648.40/x
  3. Step 3: Cross multiply
    415,715.60x = 623,573.40 × 361,648.40
  4. Step 4: Simplify right side
    415,715.60x = 225,514,322,392.56
  5. Step 5: Solve for x
    x = 225,514,322,392.56/415,715.60
  6. Step 6: Final answer
    x = 542,472.60

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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.