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Finding the Fourth Proportional to 767,168, 1,150,710.24 and 234,689.03

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Solution

The fourth proportional to 767,168, 1,150,710.24 and 234,689.03 is: 352,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,168 : 1,150,710.24 = 234,689.03 : x
  2. Step 2: Convert to fraction form
    767,168/1,150,710.24 = 234,689.03/x
  3. Step 3: Cross multiply
    767,168x = 1,150,710.24 × 234,689.03
  4. Step 4: Simplify right side
    767,168x = 270,059,070,036.67
  5. Step 5: Solve for x
    x = 270,059,070,036.67/767,168
  6. Step 6: Final answer
    x = 352,020.77

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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.