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Finding the Fourth Proportional to 404,412, 558,088.56 and 225,564

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Solution

The fourth proportional to 404,412, 558,088.56 and 225,564 is: 311,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,412 : 558,088.56 = 225,564 : x
  2. Step 2: Convert to fraction form
    404,412/558,088.56 = 225,564/x
  3. Step 3: Cross multiply
    404,412x = 558,088.56 × 225,564
  4. Step 4: Simplify right side
    404,412x = 125,884,687,947.84
  5. Step 5: Solve for x
    x = 125,884,687,947.84/404,412
  6. Step 6: Final answer
    x = 311,278.32

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