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Finding the Fourth Proportional to 566,871.44, 782,318.04 and 312,222.56

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Solution

The fourth proportional to 566,871.44, 782,318.04 and 312,222.56 is: 430,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,871.44 : 782,318.04 = 312,222.56 : x
  2. Step 2: Convert to fraction form
    566,871.44/782,318.04 = 312,222.56/x
  3. Step 3: Cross multiply
    566,871.44x = 782,318.04 × 312,222.56
  4. Step 4: Simplify right side
    566,871.44x = 244,257,341,182.98
  5. Step 5: Solve for x
    x = 244,257,341,182.98/566,871.44
  6. Step 6: Final answer
    x = 430,886.66

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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.