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Finding the Fourth Proportional to 614,719.68, 922,079.52 and 165,441.57

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Solution

The fourth proportional to 614,719.68, 922,079.52 and 165,441.57 is: 248,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,719.68 : 922,079.52 = 165,441.57 : x
  2. Step 2: Convert to fraction form
    614,719.68/922,079.52 = 165,441.57/x
  3. Step 3: Cross multiply
    614,719.68x = 922,079.52 × 165,441.57
  4. Step 4: Simplify right side
    614,719.68x = 152,550,283,453.65
  5. Step 5: Solve for x
    x = 152,550,283,453.65/614,719.68
  6. Step 6: Final answer
    x = 248,162.36

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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.