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Finding the Fourth Proportional to 410,551.20, 615,913.20 and 130,096.80

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Solution

The fourth proportional to 410,551.20, 615,913.20 and 130,096.80 is: 195,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,551.20 : 615,913.20 = 130,096.80 : x
  2. Step 2: Convert to fraction form
    410,551.20/615,913.20 = 130,096.80/x
  3. Step 3: Cross multiply
    410,551.20x = 615,913.20 × 130,096.80
  4. Step 4: Simplify right side
    410,551.20x = 80,128,336,397.76
  5. Step 5: Solve for x
    x = 80,128,336,397.76/410,551.20
  6. Step 6: Final answer
    x = 195,172.58

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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.