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Finding the Fourth Proportional to 542,981.76, 814,283.52 and 223,042.56

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Solution

The fourth proportional to 542,981.76, 814,283.52 and 223,042.56 is: 334,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,981.76 : 814,283.52 = 223,042.56 : x
  2. Step 2: Convert to fraction form
    542,981.76/814,283.52 = 223,042.56/x
  3. Step 3: Cross multiply
    542,981.76x = 814,283.52 × 223,042.56
  4. Step 4: Simplify right side
    542,981.76x = 181,619,880,866.61
  5. Step 5: Solve for x
    x = 181,619,880,866.61/542,981.76
  6. Step 6: Final answer
    x = 334,486.15

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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.