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Finding the Fourth Proportional to 474,449.60, 711,674.40 and 457,860.80

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Solution

The fourth proportional to 474,449.60, 711,674.40 and 457,860.80 is: 686,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,449.60 : 711,674.40 = 457,860.80 : x
  2. Step 2: Convert to fraction form
    474,449.60/711,674.40 = 457,860.80/x
  3. Step 3: Cross multiply
    474,449.60x = 711,674.40 × 457,860.80
  4. Step 4: Simplify right side
    474,449.60x = 325,847,810,123.52
  5. Step 5: Solve for x
    x = 325,847,810,123.52/474,449.60
  6. Step 6: Final answer
    x = 686,791.20

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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.