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Finding the Fourth Proportional to 475,228.80, 712,497.60 and 194,601.60

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Solution

The fourth proportional to 475,228.80, 712,497.60 and 194,601.60 is: 291,760.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,228.80 : 712,497.60 = 194,601.60 : x
  2. Step 2: Convert to fraction form
    475,228.80/712,497.60 = 194,601.60/x
  3. Step 3: Cross multiply
    475,228.80x = 712,497.60 × 194,601.60
  4. Step 4: Simplify right side
    475,228.80x = 138,653,172,956.16
  5. Step 5: Solve for x
    x = 138,653,172,956.16/475,228.80
  6. Step 6: Final answer
    x = 291,760.88

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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.