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Finding the Fourth Proportional to 299,313.20, 413,061.84 and 170,248.37

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Solution

The fourth proportional to 299,313.20, 413,061.84 and 170,248.37 is: 234,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,313.20 : 413,061.84 = 170,248.37 : x
  2. Step 2: Convert to fraction form
    299,313.20/413,061.84 = 170,248.37/x
  3. Step 3: Cross multiply
    299,313.20x = 413,061.84 × 170,248.37
  4. Step 4: Simplify right side
    299,313.20x = 70,323,102,903.89
  5. Step 5: Solve for x
    x = 70,323,102,903.89/299,313.20
  6. Step 6: Final answer
    x = 234,948.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.