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Finding the Fourth Proportional to 310,530.29, 465,463.24 and 160,619.66

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Solution

The fourth proportional to 310,530.29, 465,463.24 and 160,619.66 is: 240,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,530.29 : 465,463.24 = 160,619.66 : x
  2. Step 2: Convert to fraction form
    310,530.29/465,463.24 = 160,619.66/x
  3. Step 3: Cross multiply
    310,530.29x = 465,463.24 × 160,619.66
  4. Step 4: Simplify right side
    310,530.29x = 74,762,544,622.43
  5. Step 5: Solve for x
    x = 74,762,544,622.43/310,530.29
  6. Step 6: Final answer
    x = 240,757.65

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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.