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Finding the Fourth Proportional to 658,437.84, 987,555.60 and 209,100.42

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Solution

The fourth proportional to 658,437.84, 987,555.60 and 209,100.42 is: 313,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,437.84 : 987,555.60 = 209,100.42 : x
  2. Step 2: Convert to fraction form
    658,437.84/987,555.60 = 209,100.42/x
  3. Step 3: Cross multiply
    658,437.84x = 987,555.60 × 209,100.42
  4. Step 4: Simplify right side
    658,437.84x = 206,498,290,733.35
  5. Step 5: Solve for x
    x = 206,498,290,733.35/658,437.84
  6. Step 6: Final answer
    x = 313,618.50

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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.