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Finding the Fourth Proportional to 375,218.92, 562,958.46 and 164,827.56

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Solution

The fourth proportional to 375,218.92, 562,958.46 and 164,827.56 is: 247,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,218.92 : 562,958.46 = 164,827.56 : x
  2. Step 2: Convert to fraction form
    375,218.92/562,958.46 = 164,827.56/x
  3. Step 3: Cross multiply
    375,218.92x = 562,958.46 × 164,827.56
  4. Step 4: Simplify right side
    375,218.92x = 92,791,069,343.16
  5. Step 5: Solve for x
    x = 92,791,069,343.16/375,218.92
  6. Step 6: Final answer
    x = 247,298.48

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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.