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Finding the Fourth Proportional to 410,482.20, 615,661.74 and 129,963

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Solution

The fourth proportional to 410,482.20, 615,661.74 and 129,963 is: 194,925.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,482.20 : 615,661.74 = 129,963 : x
  2. Step 2: Convert to fraction form
    410,482.20/615,661.74 = 129,963/x
  3. Step 3: Cross multiply
    410,482.20x = 615,661.74 × 129,963
  4. Step 4: Simplify right side
    410,482.20x = 80,013,246,715.62
  5. Step 5: Solve for x
    x = 80,013,246,715.62/410,482.20
  6. Step 6: Final answer
    x = 194,925.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.