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Finding the Fourth Proportional to 269,062, 402,596.56 and 168,420.40

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Solution

The fourth proportional to 269,062, 402,596.56 and 168,420.40 is: 252,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,062 : 402,596.56 = 168,420.40 : x
  2. Step 2: Convert to fraction form
    269,062/402,596.56 = 168,420.40/x
  3. Step 3: Cross multiply
    269,062x = 402,596.56 × 168,420.40
  4. Step 4: Simplify right side
    269,062x = 67,805,473,673.82
  5. Step 5: Solve for x
    x = 67,805,473,673.82/269,062
  6. Step 6: Final answer
    x = 252,006.87

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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.