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Finding the Fourth Proportional to 410,317.80, 615,524.70 and 129,863.40

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Solution

The fourth proportional to 410,317.80, 615,524.70 and 129,863.40 is: 194,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,317.80 : 615,524.70 = 129,863.40 : x
  2. Step 2: Convert to fraction form
    410,317.80/615,524.70 = 129,863.40/x
  3. Step 3: Cross multiply
    410,317.80x = 615,524.70 × 129,863.40
  4. Step 4: Simplify right side
    410,317.80x = 79,934,130,325.98
  5. Step 5: Solve for x
    x = 79,934,130,325.98/410,317.80
  6. Step 6: Final answer
    x = 194,810.29

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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.