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Finding the Fourth Proportional to 410,064.60, 614,981.70 and 129,667.80

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Solution

The fourth proportional to 410,064.60, 614,981.70 and 129,667.80 is: 194,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,064.60 : 614,981.70 = 129,667.80 : x
  2. Step 2: Convert to fraction form
    410,064.60/614,981.70 = 129,667.80/x
  3. Step 3: Cross multiply
    410,064.60x = 614,981.70 × 129,667.80
  4. Step 4: Simplify right side
    410,064.60x = 79,743,324,079.26
  5. Step 5: Solve for x
    x = 79,743,324,079.26/410,064.60
  6. Step 6: Final answer
    x = 194,465.27

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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.