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Finding the Fourth Proportional to 464,544.60, 696,816.90 and 132,077.40

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Solution

The fourth proportional to 464,544.60, 696,816.90 and 132,077.40 is: 198,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,544.60 : 696,816.90 = 132,077.40 : x
  2. Step 2: Convert to fraction form
    464,544.60/696,816.90 = 132,077.40/x
  3. Step 3: Cross multiply
    464,544.60x = 696,816.90 × 132,077.40
  4. Step 4: Simplify right side
    464,544.60x = 92,033,764,428.06
  5. Step 5: Solve for x
    x = 92,033,764,428.06/464,544.60
  6. Step 6: Final answer
    x = 198,116.10

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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.