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Finding the Fourth Proportional to 478,455.53, 659,976.66 and 284,733.36

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Solution

The fourth proportional to 478,455.53, 659,976.66 and 284,733.36 is: 392,758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,455.53 : 659,976.66 = 284,733.36 : x
  2. Step 2: Convert to fraction form
    478,455.53/659,976.66 = 284,733.36/x
  3. Step 3: Cross multiply
    478,455.53x = 659,976.66 × 284,733.36
  4. Step 4: Simplify right side
    478,455.53x = 187,917,371,923.38
  5. Step 5: Solve for x
    x = 187,917,371,923.38/478,455.53
  6. Step 6: Final answer
    x = 392,758.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.