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Finding the Fourth Proportional to 497,476.35, 746,211.48 and 142,491.02

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Solution

The fourth proportional to 497,476.35, 746,211.48 and 142,491.02 is: 213,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,476.35 : 746,211.48 = 142,491.02 : x
  2. Step 2: Convert to fraction form
    497,476.35/746,211.48 = 142,491.02/x
  3. Step 3: Cross multiply
    497,476.35x = 746,211.48 × 142,491.02
  4. Step 4: Simplify right side
    497,476.35x = 106,328,434,920.91
  5. Step 5: Solve for x
    x = 106,328,434,920.91/497,476.35
  6. Step 6: Final answer
    x = 213,735.66

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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.