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Finding the Fourth Proportional to 347,805.80, 521,708.70 and 343,140.20

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Solution

The fourth proportional to 347,805.80, 521,708.70 and 343,140.20 is: 514,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,805.80 : 521,708.70 = 343,140.20 : x
  2. Step 2: Convert to fraction form
    347,805.80/521,708.70 = 343,140.20/x
  3. Step 3: Cross multiply
    347,805.80x = 521,708.70 × 343,140.20
  4. Step 4: Simplify right side
    347,805.80x = 179,019,227,659.74
  5. Step 5: Solve for x
    x = 179,019,227,659.74/347,805.80
  6. Step 6: Final answer
    x = 514,710.30

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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.