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Finding the Fourth Proportional to 410,607.48, 615,924.18 and 130,127.16

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Solution

The fourth proportional to 410,607.48, 615,924.18 and 130,127.16 is: 195,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,607.48 : 615,924.18 = 130,127.16 : x
  2. Step 2: Convert to fraction form
    410,607.48/615,924.18 = 130,127.16/x
  3. Step 3: Cross multiply
    410,607.48x = 615,924.18 × 130,127.16
  4. Step 4: Simplify right side
    410,607.48x = 80,148,464,318.73
  5. Step 5: Solve for x
    x = 80,148,464,318.73/410,607.48
  6. Step 6: Final answer
    x = 195,194.85

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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.