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Finding the Fourth Proportional to 310,965.24, 466,370.10 and 89,349.24

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Solution

The fourth proportional to 310,965.24, 466,370.10 and 89,349.24 is: 134,001.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,965.24 : 466,370.10 = 89,349.24 : x
  2. Step 2: Convert to fraction form
    310,965.24/466,370.10 = 89,349.24/x
  3. Step 3: Cross multiply
    310,965.24x = 466,370.10 × 89,349.24
  4. Step 4: Simplify right side
    310,965.24x = 41,669,813,993.72
  5. Step 5: Solve for x
    x = 41,669,813,993.72/310,965.24
  6. Step 6: Final answer
    x = 134,001.52

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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.