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Finding the Fourth Proportional to 681,834.24, 940,192.80 and 464,184

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Solution

The fourth proportional to 681,834.24, 940,192.80 and 464,184 is: 640,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,834.24 : 940,192.80 = 464,184 : x
  2. Step 2: Convert to fraction form
    681,834.24/940,192.80 = 464,184/x
  3. Step 3: Cross multiply
    681,834.24x = 940,192.80 × 464,184
  4. Step 4: Simplify right side
    681,834.24x = 436,422,454,675.20
  5. Step 5: Solve for x
    x = 436,422,454,675.20/681,834.24
  6. Step 6: Final answer
    x = 640,071.19

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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.