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Finding the Fourth Proportional to 294,115.84, 441,112.32 and 83,706.88

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Solution

The fourth proportional to 294,115.84, 441,112.32 and 83,706.88 is: 125,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,115.84 : 441,112.32 = 83,706.88 : x
  2. Step 2: Convert to fraction form
    294,115.84/441,112.32 = 83,706.88/x
  3. Step 3: Cross multiply
    294,115.84x = 441,112.32 × 83,706.88
  4. Step 4: Simplify right side
    294,115.84x = 36,924,136,036.76
  5. Step 5: Solve for x
    x = 36,924,136,036.76/294,115.84
  6. Step 6: Final answer
    x = 125,542.83

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1.5x scale

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.