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Finding the Fourth Proportional to 472,063.66, 708,094.82 and 219,205.88

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Solution

The fourth proportional to 472,063.66, 708,094.82 and 219,205.88 is: 328,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,063.66 : 708,094.82 = 219,205.88 : x
  2. Step 2: Convert to fraction form
    472,063.66/708,094.82 = 219,205.88/x
  3. Step 3: Cross multiply
    472,063.66x = 708,094.82 × 219,205.88
  4. Step 4: Simplify right side
    472,063.66x = 155,218,548,141.54
  5. Step 5: Solve for x
    x = 155,218,548,141.54/472,063.66
  6. Step 6: Final answer
    x = 328,808.51

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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.