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Finding the Fourth Proportional to 315,462.66, 434,576.52 and 269,995.20

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Solution

The fourth proportional to 315,462.66, 434,576.52 and 269,995.20 is: 371,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,462.66 : 434,576.52 = 269,995.20 : x
  2. Step 2: Convert to fraction form
    315,462.66/434,576.52 = 269,995.20/x
  3. Step 3: Cross multiply
    315,462.66x = 434,576.52 × 269,995.20
  4. Step 4: Simplify right side
    315,462.66x = 117,333,574,432.70
  5. Step 5: Solve for x
    x = 117,333,574,432.70/315,462.66
  6. Step 6: Final answer
    x = 371,941.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.