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Finding the Fourth Proportional to 755,758.40, 1,042,994.22 and 416,226.92

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Solution

The fourth proportional to 755,758.40, 1,042,994.22 and 416,226.92 is: 574,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,758.40 : 1,042,994.22 = 416,226.92 : x
  2. Step 2: Convert to fraction form
    755,758.40/1,042,994.22 = 416,226.92/x
  3. Step 3: Cross multiply
    755,758.40x = 1,042,994.22 × 416,226.92
  4. Step 4: Simplify right side
    755,758.40x = 434,122,271,768.40
  5. Step 5: Solve for x
    x = 434,122,271,768.40/755,758.40
  6. Step 6: Final answer
    x = 574,419.38

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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.