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Finding the Fourth Proportional to 546,700.80, 820,051.20 and 251,212.80

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Solution

The fourth proportional to 546,700.80, 820,051.20 and 251,212.80 is: 376,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,700.80 : 820,051.20 = 251,212.80 : x
  2. Step 2: Convert to fraction form
    546,700.80/820,051.20 = 251,212.80/x
  3. Step 3: Cross multiply
    546,700.80x = 820,051.20 × 251,212.80
  4. Step 4: Simplify right side
    546,700.80x = 206,007,358,095.36
  5. Step 5: Solve for x
    x = 206,007,358,095.36/546,700.80
  6. Step 6: Final answer
    x = 376,819.20

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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.