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Finding the Fourth Proportional to 310,472.92, 465,494.19 and 158,374.63

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Solution

The fourth proportional to 310,472.92, 465,494.19 and 158,374.63 is: 237,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,472.92 : 465,494.19 = 158,374.63 : x
  2. Step 2: Convert to fraction form
    310,472.92/465,494.19 = 158,374.63/x
  3. Step 3: Cross multiply
    310,472.92x = 465,494.19 × 158,374.63
  4. Step 4: Simplify right side
    310,472.92x = 73,722,470,108.40
  5. Step 5: Solve for x
    x = 73,722,470,108.40/310,472.92
  6. Step 6: Final answer
    x = 237,452.17

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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.