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Finding the Fourth Proportional to 402,415.70, 603,623.55 and 269,446.10

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Solution

The fourth proportional to 402,415.70, 603,623.55 and 269,446.10 is: 404,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,415.70 : 603,623.55 = 269,446.10 : x
  2. Step 2: Convert to fraction form
    402,415.70/603,623.55 = 269,446.10/x
  3. Step 3: Cross multiply
    402,415.70x = 603,623.55 × 269,446.10
  4. Step 4: Simplify right side
    402,415.70x = 162,644,011,415.66
  5. Step 5: Solve for x
    x = 162,644,011,415.66/402,415.70
  6. Step 6: Final answer
    x = 404,169.15

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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.