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Finding the Fourth Proportional to 557,234.81, 769,065.27 and 312,236.13

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Solution

The fourth proportional to 557,234.81, 769,065.27 and 312,236.13 is: 430,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,234.81 : 769,065.27 = 312,236.13 : x
  2. Step 2: Convert to fraction form
    557,234.81/769,065.27 = 312,236.13/x
  3. Step 3: Cross multiply
    557,234.81x = 769,065.27 × 312,236.13
  4. Step 4: Simplify right side
    557,234.81x = 240,129,965,335.31
  5. Step 5: Solve for x
    x = 240,129,965,335.31/557,234.81
  6. Step 6: Final answer
    x = 430,931.38

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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.