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Finding the Fourth Proportional to 580,457.97, 870,691.82 and 159,756.93

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Solution

The fourth proportional to 580,457.97, 870,691.82 and 159,756.93 is: 239,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,457.97 : 870,691.82 = 159,756.93 : x
  2. Step 2: Convert to fraction form
    580,457.97/870,691.82 = 159,756.93/x
  3. Step 3: Cross multiply
    580,457.97x = 870,691.82 × 159,756.93
  4. Step 4: Simplify right side
    580,457.97x = 139,099,051,340.53
  5. Step 5: Solve for x
    x = 139,099,051,340.53/580,457.97
  6. Step 6: Final answer
    x = 239,636.73

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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.