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Finding the Fourth Proportional to 497,670.24, 746,352.24 and 142,589.04

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Solution

The fourth proportional to 497,670.24, 746,352.24 and 142,589.04 is: 213,839.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,670.24 : 746,352.24 = 142,589.04 : x
  2. Step 2: Convert to fraction form
    497,670.24/746,352.24 = 142,589.04/x
  3. Step 3: Cross multiply
    497,670.24x = 746,352.24 × 142,589.04
  4. Step 4: Simplify right side
    497,670.24x = 106,421,649,403.45
  5. Step 5: Solve for x
    x = 106,421,649,403.45/497,670.24
  6. Step 6: Final answer
    x = 213,839.69

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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.