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Finding the Fourth Proportional to 472,275.68, 708,027.48 and 219,713.60

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Solution

The fourth proportional to 472,275.68, 708,027.48 and 219,713.60 is: 329,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,275.68 : 708,027.48 = 219,713.60 : x
  2. Step 2: Convert to fraction form
    472,275.68/708,027.48 = 219,713.60/x
  3. Step 3: Cross multiply
    472,275.68x = 708,027.48 × 219,713.60
  4. Step 4: Simplify right side
    472,275.68x = 155,563,266,529.73
  5. Step 5: Solve for x
    x = 155,563,266,529.73/472,275.68
  6. Step 6: Final answer
    x = 329,390.81

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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.