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Finding the Fourth Proportional to 542,492.80, 748,682.38 and 300,822.47

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Solution

The fourth proportional to 542,492.80, 748,682.38 and 300,822.47 is: 415,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,492.80 : 748,682.38 = 300,822.47 : x
  2. Step 2: Convert to fraction form
    542,492.80/748,682.38 = 300,822.47/x
  3. Step 3: Cross multiply
    542,492.80x = 748,682.38 × 300,822.47
  4. Step 4: Simplify right side
    542,492.80x = 225,220,479,053.67
  5. Step 5: Solve for x
    x = 225,220,479,053.67/542,492.80
  6. Step 6: Final answer
    x = 415,158.47

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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.