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Finding the Fourth Proportional to 475,309.60, 712,964.40 and 443,816.80

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Solution

The fourth proportional to 475,309.60, 712,964.40 and 443,816.80 is: 665,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,309.60 : 712,964.40 = 443,816.80 : x
  2. Step 2: Convert to fraction form
    475,309.60/712,964.40 = 443,816.80/x
  3. Step 3: Cross multiply
    475,309.60x = 712,964.40 × 443,816.80
  4. Step 4: Simplify right side
    475,309.60x = 316,425,578,521.92
  5. Step 5: Solve for x
    x = 316,425,578,521.92/475,309.60
  6. Step 6: Final answer
    x = 665,725.20

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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.