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Finding the Fourth Proportional to 414,075.88, 571,419.24 and 230,313.20

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Solution

The fourth proportional to 414,075.88, 571,419.24 and 230,313.20 is: 317,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,075.88 : 571,419.24 = 230,313.20 : x
  2. Step 2: Convert to fraction form
    414,075.88/571,419.24 = 230,313.20/x
  3. Step 3: Cross multiply
    414,075.88x = 571,419.24 × 230,313.20
  4. Step 4: Simplify right side
    414,075.88x = 131,605,393,705.97
  5. Step 5: Solve for x
    x = 131,605,393,705.97/414,075.88
  6. Step 6: Final answer
    x = 317,829.17

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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.