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Finding the Fourth Proportional to 413,454.13, 620,070.49 and 113,863.51

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Solution

The fourth proportional to 413,454.13, 620,070.49 and 113,863.51 is: 170,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,454.13 : 620,070.49 = 113,863.51 : x
  2. Step 2: Convert to fraction form
    413,454.13/620,070.49 = 113,863.51/x
  3. Step 3: Cross multiply
    413,454.13x = 620,070.49 × 113,863.51
  4. Step 4: Simplify right side
    413,454.13x = 70,603,402,438.82
  5. Step 5: Solve for x
    x = 70,603,402,438.82/413,454.13
  6. Step 6: Final answer
    x = 170,764.78

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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.