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Finding the Fourth Proportional to 314,174.65, 471,277.55 and 89,568.18

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Solution

The fourth proportional to 314,174.65, 471,277.55 and 89,568.18 is: 134,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,174.65 : 471,277.55 = 89,568.18 : x
  2. Step 2: Convert to fraction form
    314,174.65/471,277.55 = 89,568.18/x
  3. Step 3: Cross multiply
    314,174.65x = 471,277.55 × 89,568.18
  4. Step 4: Simplify right side
    314,174.65x = 42,211,472,428.36
  5. Step 5: Solve for x
    x = 42,211,472,428.36/314,174.65
  6. Step 6: Final answer
    x = 134,356.71

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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.