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Finding the Fourth Proportional to 473,005.20, 709,507.80 and 454,634.40

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Solution

The fourth proportional to 473,005.20, 709,507.80 and 454,634.40 is: 681,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,005.20 : 709,507.80 = 454,634.40 : x
  2. Step 2: Convert to fraction form
    473,005.20/709,507.80 = 454,634.40/x
  3. Step 3: Cross multiply
    473,005.20x = 709,507.80 × 454,634.40
  4. Step 4: Simplify right side
    473,005.20x = 322,566,652,948.32
  5. Step 5: Solve for x
    x = 322,566,652,948.32/473,005.20
  6. Step 6: Final answer
    x = 681,951.60

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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.