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Finding the Fourth Proportional to 375,965.22, 564,095.43 and 165,455.49

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Solution

The fourth proportional to 375,965.22, 564,095.43 and 165,455.49 is: 248,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,965.22 : 564,095.43 = 165,455.49 : x
  2. Step 2: Convert to fraction form
    375,965.22/564,095.43 = 165,455.49/x
  3. Step 3: Cross multiply
    375,965.22x = 564,095.43 × 165,455.49
  4. Step 4: Simplify right side
    375,965.22x = 93,332,685,777.41
  5. Step 5: Solve for x
    x = 93,332,685,777.41/375,965.22
  6. Step 6: Final answer
    x = 248,248.19

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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.