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Finding the Fourth Proportional to 403,827.80, 605,741.70 and 262,110.20

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Solution

The fourth proportional to 403,827.80, 605,741.70 and 262,110.20 is: 393,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,827.80 : 605,741.70 = 262,110.20 : x
  2. Step 2: Convert to fraction form
    403,827.80/605,741.70 = 262,110.20/x
  3. Step 3: Cross multiply
    403,827.80x = 605,741.70 × 262,110.20
  4. Step 4: Simplify right side
    403,827.80x = 158,771,078,135.34
  5. Step 5: Solve for x
    x = 158,771,078,135.34/403,827.80
  6. Step 6: Final answer
    x = 393,165.30

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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.