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Finding the Fourth Proportional to 701,753.24, 968,429.42 and 429,721.88

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Solution

The fourth proportional to 701,753.24, 968,429.42 and 429,721.88 is: 593,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,753.24 : 968,429.42 = 429,721.88 : x
  2. Step 2: Convert to fraction form
    701,753.24/968,429.42 = 429,721.88/x
  3. Step 3: Cross multiply
    701,753.24x = 968,429.42 × 429,721.88
  4. Step 4: Simplify right side
    701,753.24x = 416,155,311,009.71
  5. Step 5: Solve for x
    x = 416,155,311,009.71/701,753.24
  6. Step 6: Final answer
    x = 593,022.29

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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.