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Finding the Fourth Proportional to 310,844.64, 465,359.76 and 231,235.68

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Solution

The fourth proportional to 310,844.64, 465,359.76 and 231,235.68 is: 346,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,844.64 : 465,359.76 = 231,235.68 : x
  2. Step 2: Convert to fraction form
    310,844.64/465,359.76 = 231,235.68/x
  3. Step 3: Cross multiply
    310,844.64x = 465,359.76 × 231,235.68
  4. Step 4: Simplify right side
    310,844.64x = 107,607,780,548.24
  5. Step 5: Solve for x
    x = 107,607,780,548.24/310,844.64
  6. Step 6: Final answer
    x = 346,178.66

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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.