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Finding the Fourth Proportional to 471,301.70, 706,952.55 and 282,344.90

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Solution

The fourth proportional to 471,301.70, 706,952.55 and 282,344.90 is: 423,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,301.70 : 706,952.55 = 282,344.90 : x
  2. Step 2: Convert to fraction form
    471,301.70/706,952.55 = 282,344.90/x
  3. Step 3: Cross multiply
    471,301.70x = 706,952.55 × 282,344.90
  4. Step 4: Simplify right side
    471,301.70x = 199,604,447,034.50
  5. Step 5: Solve for x
    x = 199,604,447,034.50/471,301.70
  6. Step 6: Final answer
    x = 423,517.35

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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.