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Finding the Fourth Proportional to 269,043.32, 403,424.84 and 100,424.98

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Solution

The fourth proportional to 269,043.32, 403,424.84 and 100,424.98 is: 150,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,043.32 : 403,424.84 = 100,424.98 : x
  2. Step 2: Convert to fraction form
    269,043.32/403,424.84 = 100,424.98/x
  3. Step 3: Cross multiply
    269,043.32x = 403,424.84 × 100,424.98
  4. Step 4: Simplify right side
    269,043.32x = 40,513,931,488.50
  5. Step 5: Solve for x
    x = 40,513,931,488.50/269,043.32
  6. Step 6: Final answer
    x = 150,585.16

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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.