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Finding the Fourth Proportional to 653,584.28, 981,216 and 503,919.64

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Solution

The fourth proportional to 653,584.28, 981,216 and 503,919.64 is: 756,526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,584.28 : 981,216 = 503,919.64 : x
  2. Step 2: Convert to fraction form
    653,584.28/981,216 = 503,919.64/x
  3. Step 3: Cross multiply
    653,584.28x = 981,216 × 503,919.64
  4. Step 4: Simplify right side
    653,584.28x = 494,454,013,482.24
  5. Step 5: Solve for x
    x = 494,454,013,482.24/653,584.28
  6. Step 6: Final answer
    x = 756,526.78

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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.