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Finding the Fourth Proportional to 402,503.97, 603,864.84 and 136,264.51

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Solution

The fourth proportional to 402,503.97, 603,864.84 and 136,264.51 is: 204,433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,503.97 : 603,864.84 = 136,264.51 : x
  2. Step 2: Convert to fraction form
    402,503.97/603,864.84 = 136,264.51/x
  3. Step 3: Cross multiply
    402,503.97x = 603,864.84 × 136,264.51
  4. Step 4: Simplify right side
    402,503.97x = 82,285,346,528.83
  5. Step 5: Solve for x
    x = 82,285,346,528.83/402,503.97
  6. Step 6: Final answer
    x = 204,433.63

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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.