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Finding the Fourth Proportional to 420,938.80, 580,888.22 and 229,947.28

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Solution

The fourth proportional to 420,938.80, 580,888.22 and 229,947.28 is: 317,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,938.80 : 580,888.22 = 229,947.28 : x
  2. Step 2: Convert to fraction form
    420,938.80/580,888.22 = 229,947.28/x
  3. Step 3: Cross multiply
    420,938.80x = 580,888.22 × 229,947.28
  4. Step 4: Simplify right side
    420,938.80x = 133,573,666,173.04
  5. Step 5: Solve for x
    x = 133,573,666,173.04/420,938.80
  6. Step 6: Final answer
    x = 317,323.25

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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.