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Finding the Fourth Proportional to 502,219.54, 752,541.84 and 427,030.48

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Solution

The fourth proportional to 502,219.54, 752,541.84 and 427,030.48 is: 639,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,219.54 : 752,541.84 = 427,030.48 : x
  2. Step 2: Convert to fraction form
    502,219.54/752,541.84 = 427,030.48/x
  3. Step 3: Cross multiply
    502,219.54x = 752,541.84 × 427,030.48
  4. Step 4: Simplify right side
    502,219.54x = 321,358,304,095.96
  5. Step 5: Solve for x
    x = 321,358,304,095.96/502,219.54
  6. Step 6: Final answer
    x = 639,876.15

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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.