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Finding the Fourth Proportional to 360,439.68, 540,694.08 and 160,752

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Solution

The fourth proportional to 360,439.68, 540,694.08 and 160,752 is: 241,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,439.68 : 540,694.08 = 160,752 : x
  2. Step 2: Convert to fraction form
    360,439.68/540,694.08 = 160,752/x
  3. Step 3: Cross multiply
    360,439.68x = 540,694.08 × 160,752
  4. Step 4: Simplify right side
    360,439.68x = 86,917,654,748.16
  5. Step 5: Solve for x
    x = 86,917,654,748.16/360,439.68
  6. Step 6: Final answer
    x = 241,143.41

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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.