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Finding the Fourth Proportional to 601,321.32, 829,836.81 and 343,193.09

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Solution

The fourth proportional to 601,321.32, 829,836.81 and 343,193.09 is: 473,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,321.32 : 829,836.81 = 343,193.09 : x
  2. Step 2: Convert to fraction form
    601,321.32/829,836.81 = 343,193.09/x
  3. Step 3: Cross multiply
    601,321.32x = 829,836.81 × 343,193.09
  4. Step 4: Simplify right side
    601,321.32x = 284,794,254,870.46
  5. Step 5: Solve for x
    x = 284,794,254,870.46/601,321.32
  6. Step 6: Final answer
    x = 473,614.10

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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.