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Finding the Fourth Proportional to 824,187.90, 1,234,726.65 and 768,200.70

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Solution

The fourth proportional to 824,187.90, 1,234,726.65 and 768,200.70 is: 1,150,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,187.90 : 1,234,726.65 = 768,200.70 : x
  2. Step 2: Convert to fraction form
    824,187.90/1,234,726.65 = 768,200.70/x
  3. Step 3: Cross multiply
    824,187.90x = 1,234,726.65 × 768,200.70
  4. Step 4: Simplify right side
    824,187.90x = 948,517,876,838.66
  5. Step 5: Solve for x
    x = 948,517,876,838.66/824,187.90
  6. Step 6: Final answer
    x = 1,150,851.49

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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.