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Finding the Fourth Proportional to 474,459.60, 711,689.40 and 453,982.80

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Solution

The fourth proportional to 474,459.60, 711,689.40 and 453,982.80 is: 680,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,459.60 : 711,689.40 = 453,982.80 : x
  2. Step 2: Convert to fraction form
    474,459.60/711,689.40 = 453,982.80/x
  3. Step 3: Cross multiply
    474,459.60x = 711,689.40 × 453,982.80
  4. Step 4: Simplify right side
    474,459.60x = 323,094,746,542.32
  5. Step 5: Solve for x
    x = 323,094,746,542.32/474,459.60
  6. Step 6: Final answer
    x = 680,974.20

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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.