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Finding the Fourth Proportional to 491,063.68, 736,706.35 and 149,537.66

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Solution

The fourth proportional to 491,063.68, 736,706.35 and 149,537.66 is: 224,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,063.68 : 736,706.35 = 149,537.66 : x
  2. Step 2: Convert to fraction form
    491,063.68/736,706.35 = 149,537.66/x
  3. Step 3: Cross multiply
    491,063.68x = 736,706.35 × 149,537.66
  4. Step 4: Simplify right side
    491,063.68x = 110,165,339,254.92
  5. Step 5: Solve for x
    x = 110,165,339,254.92/491,063.68
  6. Step 6: Final answer
    x = 224,340.23

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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.