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Finding the Fourth Proportional to 403,541.80, 605,312.70 and 261,824.20

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Solution

The fourth proportional to 403,541.80, 605,312.70 and 261,824.20 is: 392,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,541.80 : 605,312.70 = 261,824.20 : x
  2. Step 2: Convert to fraction form
    403,541.80/605,312.70 = 261,824.20/x
  3. Step 3: Cross multiply
    403,541.80x = 605,312.70 × 261,824.20
  4. Step 4: Simplify right side
    403,541.80x = 158,485,513,427.34
  5. Step 5: Solve for x
    x = 158,485,513,427.34/403,541.80
  6. Step 6: Final answer
    x = 392,736.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.