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Finding the Fourth Proportional to 410,522.70, 615,841.65 and 130,010.70

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Solution

The fourth proportional to 410,522.70, 615,841.65 and 130,010.70 is: 195,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,522.70 : 615,841.65 = 130,010.70 : x
  2. Step 2: Convert to fraction form
    410,522.70/615,841.65 = 130,010.70/x
  3. Step 3: Cross multiply
    410,522.70x = 615,841.65 × 130,010.70
  4. Step 4: Simplify right side
    410,522.70x = 80,066,004,005.66
  5. Step 5: Solve for x
    x = 80,066,004,005.66/410,522.70
  6. Step 6: Final answer
    x = 195,034.29

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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.