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Finding the Fourth Proportional to 471,839.80, 706,031.70 and 347,423.80

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Solution

The fourth proportional to 471,839.80, 706,031.70 and 347,423.80 is: 519,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,839.80 : 706,031.70 = 347,423.80 : x
  2. Step 2: Convert to fraction form
    471,839.80/706,031.70 = 347,423.80/x
  3. Step 3: Cross multiply
    471,839.80x = 706,031.70 × 347,423.80
  4. Step 4: Simplify right side
    471,839.80x = 245,292,216,134.46
  5. Step 5: Solve for x
    x = 245,292,216,134.46/471,839.80
  6. Step 6: Final answer
    x = 519,863.34

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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.