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Finding the Fourth Proportional to 471,301.80, 706,952.70 and 471,301.80

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Solution

The fourth proportional to 471,301.80, 706,952.70 and 471,301.80 is: 706,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,301.80 : 706,952.70 = 471,301.80 : x
  2. Step 2: Convert to fraction form
    471,301.80/706,952.70 = 471,301.80/x
  3. Step 3: Cross multiply
    471,301.80x = 706,952.70 × 471,301.80
  4. Step 4: Simplify right side
    471,301.80x = 333,188,080,024.86
  5. Step 5: Solve for x
    x = 333,188,080,024.86/471,301.80
  6. Step 6: Final answer
    x = 706,952.70

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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.