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Finding the Fourth Proportional to 375,933.40, 564,029.70 and 165,722.20

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Solution

The fourth proportional to 375,933.40, 564,029.70 and 165,722.20 is: 248,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,933.40 : 564,029.70 = 165,722.20 : x
  2. Step 2: Convert to fraction form
    375,933.40/564,029.70 = 165,722.20/x
  3. Step 3: Cross multiply
    375,933.40x = 564,029.70 × 165,722.20
  4. Step 4: Simplify right side
    375,933.40x = 93,472,242,749.34
  5. Step 5: Solve for x
    x = 93,472,242,749.34/375,933.40
  6. Step 6: Final answer
    x = 248,640.43

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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.