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Finding the Fourth Proportional to 547,881.17, 822,006.32 and 345,241.98

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Solution

The fourth proportional to 547,881.17, 822,006.32 and 345,241.98 is: 517,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,881.17 : 822,006.32 = 345,241.98 : x
  2. Step 2: Convert to fraction form
    547,881.17/822,006.32 = 345,241.98/x
  3. Step 3: Cross multiply
    547,881.17x = 822,006.32 × 345,241.98
  4. Step 4: Simplify right side
    547,881.17x = 283,791,087,763.10
  5. Step 5: Solve for x
    x = 283,791,087,763.10/547,881.17
  6. Step 6: Final answer
    x = 517,979.27

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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.