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Finding the Fourth Proportional to 312,264.24, 468,461.16 and 125,290.32

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Solution

The fourth proportional to 312,264.24, 468,461.16 and 125,290.32 is: 187,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,264.24 : 468,461.16 = 125,290.32 : x
  2. Step 2: Convert to fraction form
    312,264.24/468,461.16 = 125,290.32/x
  3. Step 3: Cross multiply
    312,264.24x = 468,461.16 × 125,290.32
  4. Step 4: Simplify right side
    312,264.24x = 58,693,648,643.97
  5. Step 5: Solve for x
    x = 58,693,648,643.97/312,264.24
  6. Step 6: Final answer
    x = 187,961.48

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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.