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Finding the Fourth Proportional to 409,213.21, 564,742.62 and 248,075.05

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Solution

The fourth proportional to 409,213.21, 564,742.62 and 248,075.05 is: 342,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,213.21 : 564,742.62 = 248,075.05 : x
  2. Step 2: Convert to fraction form
    409,213.21/564,742.62 = 248,075.05/x
  3. Step 3: Cross multiply
    409,213.21x = 564,742.62 × 248,075.05
  4. Step 4: Simplify right side
    409,213.21x = 140,098,553,693.63
  5. Step 5: Solve for x
    x = 140,098,553,693.63/409,213.21
  6. Step 6: Final answer
    x = 342,360.78

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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.