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Finding the Fourth Proportional to 287,666.60, 396,981.74 and 160,350.26

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Solution

The fourth proportional to 287,666.60, 396,981.74 and 160,350.26 is: 221,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,666.60 : 396,981.74 = 160,350.26 : x
  2. Step 2: Convert to fraction form
    287,666.60/396,981.74 = 160,350.26/x
  3. Step 3: Cross multiply
    287,666.60x = 396,981.74 × 160,350.26
  4. Step 4: Simplify right side
    287,666.60x = 63,656,123,640.22
  5. Step 5: Solve for x
    x = 63,656,123,640.22/287,666.60
  6. Step 6: Final answer
    x = 221,284.38

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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.