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Finding the Fourth Proportional to 360,422.46, 497,370.81 and 207,439.42

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Solution

The fourth proportional to 360,422.46, 497,370.81 and 207,439.42 is: 286,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,422.46 : 497,370.81 = 207,439.42 : x
  2. Step 2: Convert to fraction form
    360,422.46/497,370.81 = 207,439.42/x
  3. Step 3: Cross multiply
    360,422.46x = 497,370.81 × 207,439.42
  4. Step 4: Simplify right side
    360,422.46x = 103,174,309,864.48
  5. Step 5: Solve for x
    x = 103,174,309,864.48/360,422.46
  6. Step 6: Final answer
    x = 286,259.38

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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.