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Finding the Fourth Proportional to 547,751.72, 822,304.17 and 259,838.63

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Solution

The fourth proportional to 547,751.72, 822,304.17 and 259,838.63 is: 390,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,751.72 : 822,304.17 = 259,838.63 : x
  2. Step 2: Convert to fraction form
    547,751.72/822,304.17 = 259,838.63/x
  3. Step 3: Cross multiply
    547,751.72x = 822,304.17 × 259,838.63
  4. Step 4: Simplify right side
    547,751.72x = 213,666,384,864.57
  5. Step 5: Solve for x
    x = 213,666,384,864.57/547,751.72
  6. Step 6: Final answer
    x = 390,078.90

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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.