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Finding the Fourth Proportional to 372,232.16, 513,858.84 and 229,114.88

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Solution

The fourth proportional to 372,232.16, 513,858.84 and 229,114.88 is: 316,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,232.16 : 513,858.84 = 229,114.88 : x
  2. Step 2: Convert to fraction form
    372,232.16/513,858.84 = 229,114.88/x
  3. Step 3: Cross multiply
    372,232.16x = 513,858.84 × 229,114.88
  4. Step 4: Simplify right side
    372,232.16x = 117,732,706,463.54
  5. Step 5: Solve for x
    x = 117,732,706,463.54/372,232.16
  6. Step 6: Final answer
    x = 316,288.38

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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.