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Finding the Fourth Proportional to 472,469.76, 708,303.23 and 219,896.93

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Solution

The fourth proportional to 472,469.76, 708,303.23 and 219,896.93 is: 329,658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,469.76 : 708,303.23 = 219,896.93 : x
  2. Step 2: Convert to fraction form
    472,469.76/708,303.23 = 219,896.93/x
  3. Step 3: Cross multiply
    472,469.76x = 708,303.23 × 219,896.93
  4. Step 4: Simplify right side
    472,469.76x = 155,753,704,534.69
  5. Step 5: Solve for x
    x = 155,753,704,534.69/472,469.76
  6. Step 6: Final answer
    x = 329,658.57

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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.