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Finding the Fourth Proportional to 471,712.80, 706,532.40 and 284,397.60

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Solution

The fourth proportional to 471,712.80, 706,532.40 and 284,397.60 is: 425,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,712.80 : 706,532.40 = 284,397.60 : x
  2. Step 2: Convert to fraction form
    471,712.80/706,532.40 = 284,397.60/x
  3. Step 3: Cross multiply
    471,712.80x = 706,532.40 × 284,397.60
  4. Step 4: Simplify right side
    471,712.80x = 200,936,118,882.24
  5. Step 5: Solve for x
    x = 200,936,118,882.24/471,712.80
  6. Step 6: Final answer
    x = 425,971.31

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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.