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Finding the Fourth Proportional to 542,493.40, 748,488.99 and 316,095.16

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Solution

The fourth proportional to 542,493.40, 748,488.99 and 316,095.16 is: 436,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,493.40 : 748,488.99 = 316,095.16 : x
  2. Step 2: Convert to fraction form
    542,493.40/748,488.99 = 316,095.16/x
  3. Step 3: Cross multiply
    542,493.40x = 748,488.99 × 316,095.16
  4. Step 4: Simplify right side
    542,493.40x = 236,593,747,052.29
  5. Step 5: Solve for x
    x = 236,593,747,052.29/542,493.40
  6. Step 6: Final answer
    x = 436,122.81

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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.