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Finding the Fourth Proportional to 310,228.64, 465,345.12 and 169,910.72

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Solution

The fourth proportional to 310,228.64, 465,345.12 and 169,910.72 is: 254,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,228.64 : 465,345.12 = 169,910.72 : x
  2. Step 2: Convert to fraction form
    310,228.64/465,345.12 = 169,910.72/x
  3. Step 3: Cross multiply
    310,228.64x = 465,345.12 × 169,910.72
  4. Step 4: Simplify right side
    310,228.64x = 79,067,124,387.69
  5. Step 5: Solve for x
    x = 79,067,124,387.69/310,228.64
  6. Step 6: Final answer
    x = 254,867.26

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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.