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Finding the Fourth Proportional to 497,479.82, 746,219.70 and 123,502.82

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Solution

The fourth proportional to 497,479.82, 746,219.70 and 123,502.82 is: 185,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,479.82 : 746,219.70 = 123,502.82 : x
  2. Step 2: Convert to fraction form
    497,479.82/746,219.70 = 123,502.82/x
  3. Step 3: Cross multiply
    497,479.82x = 746,219.70 × 123,502.82
  4. Step 4: Simplify right side
    497,479.82x = 92,160,237,289.55
  5. Step 5: Solve for x
    x = 92,160,237,289.55/497,479.82
  6. Step 6: Final answer
    x = 185,254.22

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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.