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Finding the Fourth Proportional to 646,301.76, 969,015.24 and 225,348

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Solution

The fourth proportional to 646,301.76, 969,015.24 and 225,348 is: 337,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,301.76 : 969,015.24 = 225,348 : x
  2. Step 2: Convert to fraction form
    646,301.76/969,015.24 = 225,348/x
  3. Step 3: Cross multiply
    646,301.76x = 969,015.24 × 225,348
  4. Step 4: Simplify right side
    646,301.76x = 218,365,646,303.52
  5. Step 5: Solve for x
    x = 218,365,646,303.52/646,301.76
  6. Step 6: Final answer
    x = 337,869.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.