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Finding the Fourth Proportional to 410,060.60, 614,975.70 and 129,663.80

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Solution

The fourth proportional to 410,060.60, 614,975.70 and 129,663.80 is: 194,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,060.60 : 614,975.70 = 129,663.80 : x
  2. Step 2: Convert to fraction form
    410,060.60/614,975.70 = 129,663.80/x
  3. Step 3: Cross multiply
    410,060.60x = 614,975.70 × 129,663.80
  4. Step 4: Simplify right side
    410,060.60x = 79,740,086,169.66
  5. Step 5: Solve for x
    x = 79,740,086,169.66/410,060.60
  6. Step 6: Final answer
    x = 194,459.27

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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.