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Finding the Fourth Proportional to 496,776.32, 745,182.12 and 159,771.76

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Solution

The fourth proportional to 496,776.32, 745,182.12 and 159,771.76 is: 239,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,776.32 : 745,182.12 = 159,771.76 : x
  2. Step 2: Convert to fraction form
    496,776.32/745,182.12 = 159,771.76/x
  3. Step 3: Cross multiply
    496,776.32x = 745,182.12 × 159,771.76
  4. Step 4: Simplify right side
    496,776.32x = 119,059,058,832.93
  5. Step 5: Solve for x
    x = 119,059,058,832.93/496,776.32
  6. Step 6: Final answer
    x = 239,663.31

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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.