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Finding the Fourth Proportional to 496,802.10, 745,185.80 and 159,865.58

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Solution

The fourth proportional to 496,802.10, 745,185.80 and 159,865.58 is: 239,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,802.10 : 745,185.80 = 159,865.58 : x
  2. Step 2: Convert to fraction form
    496,802.10/745,185.80 = 159,865.58/x
  3. Step 3: Cross multiply
    496,802.10x = 745,185.80 × 159,865.58
  4. Step 4: Simplify right side
    496,802.10x = 119,129,560,124.76
  5. Step 5: Solve for x
    x = 119,129,560,124.76/496,802.10
  6. Step 6: Final answer
    x = 239,792.79

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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.