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Finding the Fourth Proportional to 492,258.40, 738,387.60 and 461,154.40

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Solution

The fourth proportional to 492,258.40, 738,387.60 and 461,154.40 is: 691,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,258.40 : 738,387.60 = 461,154.40 : x
  2. Step 2: Convert to fraction form
    492,258.40/738,387.60 = 461,154.40/x
  3. Step 3: Cross multiply
    492,258.40x = 738,387.60 × 461,154.40
  4. Step 4: Simplify right side
    492,258.40x = 340,510,690,645.44
  5. Step 5: Solve for x
    x = 340,510,690,645.44/492,258.40
  6. Step 6: Final answer
    x = 691,731.60

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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.