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Finding the Fourth Proportional to 474,461.60, 711,692.40 and 457,872.80

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Solution

The fourth proportional to 474,461.60, 711,692.40 and 457,872.80 is: 686,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,461.60 : 711,692.40 = 457,872.80 : x
  2. Step 2: Convert to fraction form
    474,461.60/711,692.40 = 457,872.80/x
  3. Step 3: Cross multiply
    474,461.60x = 711,692.40 × 457,872.80
  4. Step 4: Simplify right side
    474,461.60x = 325,864,591,926.72
  5. Step 5: Solve for x
    x = 325,864,591,926.72/474,461.60
  6. Step 6: Final answer
    x = 686,809.20

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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.