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Finding the Fourth Proportional to 547,761.98, 822,319.56 and 259,848.92

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Solution

The fourth proportional to 547,761.98, 822,319.56 and 259,848.92 is: 390,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,761.98 : 822,319.56 = 259,848.92 : x
  2. Step 2: Convert to fraction form
    547,761.98/822,319.56 = 259,848.92/x
  3. Step 3: Cross multiply
    547,761.98x = 822,319.56 × 259,848.92
  4. Step 4: Simplify right side
    547,761.98x = 213,678,849,560.88
  5. Step 5: Solve for x
    x = 213,678,849,560.88/547,761.98
  6. Step 6: Final answer
    x = 390,094.34

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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.