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Finding the Fourth Proportional to 316,902.39, 475,033.54 and 198,656.61

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Solution

The fourth proportional to 316,902.39, 475,033.54 and 198,656.61 is: 297,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,902.39 : 475,033.54 = 198,656.61 : x
  2. Step 2: Convert to fraction form
    316,902.39/475,033.54 = 198,656.61/x
  3. Step 3: Cross multiply
    316,902.39x = 475,033.54 × 198,656.61
  4. Step 4: Simplify right side
    316,902.39x = 94,368,552,692.70
  5. Step 5: Solve for x
    x = 94,368,552,692.70/316,902.39
  6. Step 6: Final answer
    x = 297,784.29

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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.