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Finding the Fourth Proportional to 410,114.76, 615,168.45 and 129,632.10

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Solution

The fourth proportional to 410,114.76, 615,168.45 and 129,632.10 is: 194,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,114.76 : 615,168.45 = 129,632.10 : x
  2. Step 2: Convert to fraction form
    410,114.76/615,168.45 = 129,632.10/x
  3. Step 3: Cross multiply
    410,114.76x = 615,168.45 × 129,632.10
  4. Step 4: Simplify right side
    410,114.76x = 79,745,578,027.25
  5. Step 5: Solve for x
    x = 79,745,578,027.25/410,114.76
  6. Step 6: Final answer
    x = 194,446.98

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1.5x scale

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.