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Finding the Fourth Proportional to 838,814, 1,256,976.42 and 616,109.36

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Solution

The fourth proportional to 838,814, 1,256,976.42 and 616,109.36 is: 923,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,814 : 1,256,976.42 = 616,109.36 : x
  2. Step 2: Convert to fraction form
    838,814/1,256,976.42 = 616,109.36/x
  3. Step 3: Cross multiply
    838,814x = 1,256,976.42 × 616,109.36
  4. Step 4: Simplify right side
    838,814x = 774,434,937,661.29
  5. Step 5: Solve for x
    x = 774,434,937,661.29/838,814
  6. Step 6: Final answer
    x = 923,249.90

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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.