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Finding the Fourth Proportional to 307,751.78, 462,439.50 and 165,702.08

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Solution

The fourth proportional to 307,751.78, 462,439.50 and 165,702.08 is: 248,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,751.78 : 462,439.50 = 165,702.08 : x
  2. Step 2: Convert to fraction form
    307,751.78/462,439.50 = 165,702.08/x
  3. Step 3: Cross multiply
    307,751.78x = 462,439.50 × 165,702.08
  4. Step 4: Simplify right side
    307,751.78x = 76,627,187,024.16
  5. Step 5: Solve for x
    x = 76,627,187,024.16/307,751.78
  6. Step 6: Final answer
    x = 248,990.23

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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.