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Finding the Fourth Proportional to 638,586.40, 956,713.20 and 519,613.60

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Solution

The fourth proportional to 638,586.40, 956,713.20 and 519,613.60 is: 778,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,586.40 : 956,713.20 = 519,613.60 : x
  2. Step 2: Convert to fraction form
    638,586.40/956,713.20 = 519,613.60/x
  3. Step 3: Cross multiply
    638,586.40x = 956,713.20 × 519,613.60
  4. Step 4: Simplify right side
    638,586.40x = 497,121,190,019.52
  5. Step 5: Solve for x
    x = 497,121,190,019.52/638,586.40
  6. Step 6: Final answer
    x = 778,471.31

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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.