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Finding the Fourth Proportional to 548,732.05, 827,210.92 and 512,154.48

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Solution

The fourth proportional to 548,732.05, 827,210.92 and 512,154.48 is: 772,070.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,732.05 : 827,210.92 = 512,154.48 : x
  2. Step 2: Convert to fraction form
    548,732.05/827,210.92 = 512,154.48/x
  3. Step 3: Cross multiply
    548,732.05x = 827,210.92 × 512,154.48
  4. Step 4: Simplify right side
    548,732.05x = 423,659,778,582.92
  5. Step 5: Solve for x
    x = 423,659,778,582.92/548,732.05
  6. Step 6: Final answer
    x = 772,070.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.