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Finding the Fourth Proportional to 468,075, 645,945.12 and 253,216.08

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Solution

The fourth proportional to 468,075, 645,945.12 and 253,216.08 is: 349,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,075 : 645,945.12 = 253,216.08 : x
  2. Step 2: Convert to fraction form
    468,075/645,945.12 = 253,216.08/x
  3. Step 3: Cross multiply
    468,075x = 645,945.12 × 253,216.08
  4. Step 4: Simplify right side
    468,075x = 163,563,691,181.53
  5. Step 5: Solve for x
    x = 163,563,691,181.53/468,075
  6. Step 6: Final answer
    x = 349,439.07

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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.