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Finding the Fourth Proportional to 475,106.22, 711,667.68 and 284,963.58

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Solution

The fourth proportional to 475,106.22, 711,667.68 and 284,963.58 is: 426,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,106.22 : 711,667.68 = 284,963.58 : x
  2. Step 2: Convert to fraction form
    475,106.22/711,667.68 = 284,963.58/x
  3. Step 3: Cross multiply
    475,106.22x = 711,667.68 × 284,963.58
  4. Step 4: Simplify right side
    475,106.22x = 202,799,369,863.09
  5. Step 5: Solve for x
    x = 202,799,369,863.09/475,106.22
  6. Step 6: Final answer
    x = 426,850.59

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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.