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Finding the Fourth Proportional to 602,494.68, 903,733.38 and 147,091.80

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Solution

The fourth proportional to 602,494.68, 903,733.38 and 147,091.80 is: 220,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,494.68 : 903,733.38 = 147,091.80 : x
  2. Step 2: Convert to fraction form
    602,494.68/903,733.38 = 147,091.80/x
  3. Step 3: Cross multiply
    602,494.68x = 903,733.38 × 147,091.80
  4. Step 4: Simplify right side
    602,494.68x = 132,931,769,584.28
  5. Step 5: Solve for x
    x = 132,931,769,584.28/602,494.68
  6. Step 6: Final answer
    x = 220,635.59

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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.