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Finding the Fourth Proportional to 473,654.80, 712,231.80 and 396,672.40

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Solution

The fourth proportional to 473,654.80, 712,231.80 and 396,672.40 is: 596,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,654.80 : 712,231.80 = 396,672.40 : x
  2. Step 2: Convert to fraction form
    473,654.80/712,231.80 = 396,672.40/x
  3. Step 3: Cross multiply
    473,654.80x = 712,231.80 × 396,672.40
  4. Step 4: Simplify right side
    473,654.80x = 282,522,697,462.32
  5. Step 5: Solve for x
    x = 282,522,697,462.32/473,654.80
  6. Step 6: Final answer
    x = 596,473.84

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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.