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Finding the Fourth Proportional to 462,952.80, 694,429.20 and 284,882.40

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Solution

The fourth proportional to 462,952.80, 694,429.20 and 284,882.40 is: 427,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,952.80 : 694,429.20 = 284,882.40 : x
  2. Step 2: Convert to fraction form
    462,952.80/694,429.20 = 284,882.40/x
  3. Step 3: Cross multiply
    462,952.80x = 694,429.20 × 284,882.40
  4. Step 4: Simplify right side
    462,952.80x = 197,830,657,126.08
  5. Step 5: Solve for x
    x = 197,830,657,126.08/462,952.80
  6. Step 6: Final answer
    x = 427,323.60

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Similar ratio
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1.5x scale

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.