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Finding the Fourth Proportional to 375,958.16, 564,084.94 and 165,448.48

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Solution

The fourth proportional to 375,958.16, 564,084.94 and 165,448.48 is: 248,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,958.16 : 564,084.94 = 165,448.48 : x
  2. Step 2: Convert to fraction form
    375,958.16/564,084.94 = 165,448.48/x
  3. Step 3: Cross multiply
    375,958.16x = 564,084.94 × 165,448.48
  4. Step 4: Simplify right side
    375,958.16x = 93,326,995,913.89
  5. Step 5: Solve for x
    x = 93,326,995,913.89/375,958.16
  6. Step 6: Final answer
    x = 248,237.72

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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.