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Finding the Fourth Proportional to 360,675.77, 541,062.84 and 150,264.50

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Solution

The fourth proportional to 360,675.77, 541,062.84 and 150,264.50 is: 225,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,675.77 : 541,062.84 = 150,264.50 : x
  2. Step 2: Convert to fraction form
    360,675.77/541,062.84 = 150,264.50/x
  3. Step 3: Cross multiply
    360,675.77x = 541,062.84 × 150,264.50
  4. Step 4: Simplify right side
    360,675.77x = 81,302,537,121.18
  5. Step 5: Solve for x
    x = 81,302,537,121.18/360,675.77
  6. Step 6: Final answer
    x = 225,417.24

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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.