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Finding the Fourth Proportional to 820,077.66, 1,230,204 and 346,810.86

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Solution

The fourth proportional to 820,077.66, 1,230,204 and 346,810.86 is: 520,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,077.66 : 1,230,204 = 346,810.86 : x
  2. Step 2: Convert to fraction form
    820,077.66/1,230,204 = 346,810.86/x
  3. Step 3: Cross multiply
    820,077.66x = 1,230,204 × 346,810.86
  4. Step 4: Simplify right side
    820,077.66x = 426,648,107,215.44
  5. Step 5: Solve for x
    x = 426,648,107,215.44/820,077.66
  6. Step 6: Final answer
    x = 520,253.30

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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.