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Finding the Fourth Proportional to 466,105.71, 643,275.21 and 284,923.69

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Solution

The fourth proportional to 466,105.71, 643,275.21 and 284,923.69 is: 393,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,105.71 : 643,275.21 = 284,923.69 : x
  2. Step 2: Convert to fraction form
    466,105.71/643,275.21 = 284,923.69/x
  3. Step 3: Cross multiply
    466,105.71x = 643,275.21 × 284,923.69
  4. Step 4: Simplify right side
    466,105.71x = 183,284,346,518.73
  5. Step 5: Solve for x
    x = 183,284,346,518.73/466,105.71
  6. Step 6: Final answer
    x = 393,224.85

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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.