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Finding the Fourth Proportional to 408,042.10, 612,063.15 and 347,680.90

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Solution

The fourth proportional to 408,042.10, 612,063.15 and 347,680.90 is: 521,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,042.10 : 612,063.15 = 347,680.90 : x
  2. Step 2: Convert to fraction form
    408,042.10/612,063.15 = 347,680.90/x
  3. Step 3: Cross multiply
    408,042.10x = 612,063.15 × 347,680.90
  4. Step 4: Simplify right side
    408,042.10x = 212,802,666,848.84
  5. Step 5: Solve for x
    x = 212,802,666,848.84/408,042.10
  6. Step 6: Final answer
    x = 521,521.35

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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.