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Finding the Fourth Proportional to 550,029.72, 825,045.29 and 150,674

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Solution

The fourth proportional to 550,029.72, 825,045.29 and 150,674 is: 226,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,029.72 : 825,045.29 = 150,674 : x
  2. Step 2: Convert to fraction form
    550,029.72/825,045.29 = 150,674/x
  3. Step 3: Cross multiply
    550,029.72x = 825,045.29 × 150,674
  4. Step 4: Simplify right side
    550,029.72x = 124,312,874,025.46
  5. Step 5: Solve for x
    x = 124,312,874,025.46/550,029.72
  6. Step 6: Final answer
    x = 226,011.19

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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.