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Finding the Fourth Proportional to 547,885.29, 822,012.54 and 345,246.06

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Solution

The fourth proportional to 547,885.29, 822,012.54 and 345,246.06 is: 517,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,885.29 : 822,012.54 = 345,246.06 : x
  2. Step 2: Convert to fraction form
    547,885.29/822,012.54 = 345,246.06/x
  3. Step 3: Cross multiply
    547,885.29x = 822,012.54 × 345,246.06
  4. Step 4: Simplify right side
    547,885.29x = 283,796,590,705.59
  5. Step 5: Solve for x
    x = 283,796,590,705.59/547,885.29
  6. Step 6: Final answer
    x = 517,985.42

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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.