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Finding the Fourth Proportional to 496,738.72, 745,114.92 and 141,752.64

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Solution

The fourth proportional to 496,738.72, 745,114.92 and 141,752.64 is: 212,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,738.72 : 745,114.92 = 141,752.64 : x
  2. Step 2: Convert to fraction form
    496,738.72/745,114.92 = 141,752.64/x
  3. Step 3: Cross multiply
    496,738.72x = 745,114.92 × 141,752.64
  4. Step 4: Simplify right side
    496,738.72x = 105,622,007,013.39
  5. Step 5: Solve for x
    x = 105,622,007,013.39/496,738.72
  6. Step 6: Final answer
    x = 212,630.91

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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.