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Finding the Fourth Proportional to 410,404.80, 615,607.20 and 114,916.80

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Solution

The fourth proportional to 410,404.80, 615,607.20 and 114,916.80 is: 172,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,404.80 : 615,607.20 = 114,916.80 : x
  2. Step 2: Convert to fraction form
    410,404.80/615,607.20 = 114,916.80/x
  3. Step 3: Cross multiply
    410,404.80x = 615,607.20 × 114,916.80
  4. Step 4: Simplify right side
    410,404.80x = 70,743,609,480.96
  5. Step 5: Solve for x
    x = 70,743,609,480.96/410,404.80
  6. Step 6: Final answer
    x = 172,375.20

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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.