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Finding the Fourth Proportional to 688,291.83, 949,906.89 and 416,426.49

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Solution

The fourth proportional to 688,291.83, 949,906.89 and 416,426.49 is: 574,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,291.83 : 949,906.89 = 416,426.49 : x
  2. Step 2: Convert to fraction form
    688,291.83/949,906.89 = 416,426.49/x
  3. Step 3: Cross multiply
    688,291.83x = 949,906.89 × 416,426.49
  4. Step 4: Simplify right side
    688,291.83x = 395,566,392,029.52
  5. Step 5: Solve for x
    x = 395,566,392,029.52/688,291.83
  6. Step 6: Final answer
    x = 574,707.38

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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.