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Finding the Fourth Proportional to 265,491.18, 397,300.95 and 165,698.10

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Solution

The fourth proportional to 265,491.18, 397,300.95 and 165,698.10 is: 247,963.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,491.18 : 397,300.95 = 165,698.10 : x
  2. Step 2: Convert to fraction form
    265,491.18/397,300.95 = 165,698.10/x
  3. Step 3: Cross multiply
    265,491.18x = 397,300.95 × 165,698.10
  4. Step 4: Simplify right side
    265,491.18x = 65,832,012,543.20
  5. Step 5: Solve for x
    x = 65,832,012,543.20/265,491.18
  6. Step 6: Final answer
    x = 247,963.09

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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.