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Finding the Fourth Proportional to 316,899.84, 475,029.90 and 198,654.22

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Solution

The fourth proportional to 316,899.84, 475,029.90 and 198,654.22 is: 297,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,899.84 : 475,029.90 = 198,654.22 : x
  2. Step 2: Convert to fraction form
    316,899.84/475,029.90 = 198,654.22/x
  3. Step 3: Cross multiply
    316,899.84x = 475,029.90 × 198,654.22
  4. Step 4: Simplify right side
    316,899.84x = 94,366,693,073.60
  5. Step 5: Solve for x
    x = 94,366,693,073.60/316,899.84
  6. Step 6: Final answer
    x = 297,780.82

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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.