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Finding the Fourth Proportional to 601,468.52, 829,822.20 and 343,159.89

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Solution

The fourth proportional to 601,468.52, 829,822.20 and 343,159.89 is: 473,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,468.52 : 829,822.20 = 343,159.89 : x
  2. Step 2: Convert to fraction form
    601,468.52/829,822.20 = 343,159.89/x
  3. Step 3: Cross multiply
    601,468.52x = 829,822.20 × 343,159.89
  4. Step 4: Simplify right side
    601,468.52x = 284,761,694,871.56
  5. Step 5: Solve for x
    x = 284,761,694,871.56/601,468.52
  6. Step 6: Final answer
    x = 473,444.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.