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Finding the Fourth Proportional to 410,329.70, 615,552.15 and 129,817.70

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Solution

The fourth proportional to 410,329.70, 615,552.15 and 129,817.70 is: 194,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,329.70 : 615,552.15 = 129,817.70 : x
  2. Step 2: Convert to fraction form
    410,329.70/615,552.15 = 129,817.70/x
  3. Step 3: Cross multiply
    410,329.70x = 615,552.15 × 129,817.70
  4. Step 4: Simplify right side
    410,329.70x = 79,909,564,343.06
  5. Step 5: Solve for x
    x = 79,909,564,343.06/410,329.70
  6. Step 6: Final answer
    x = 194,744.77

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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.