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Finding the Fourth Proportional to 375,974.40, 564,091.20 and 165,763.20

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Solution

The fourth proportional to 375,974.40, 564,091.20 and 165,763.20 is: 248,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,974.40 : 564,091.20 = 165,763.20 : x
  2. Step 2: Convert to fraction form
    375,974.40/564,091.20 = 165,763.20/x
  3. Step 3: Cross multiply
    375,974.40x = 564,091.20 × 165,763.20
  4. Step 4: Simplify right side
    375,974.40x = 93,505,562,403.84
  5. Step 5: Solve for x
    x = 93,505,562,403.84/375,974.40
  6. Step 6: Final answer
    x = 248,701.94

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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.