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Finding the Fourth Proportional to 267,830.20, 400,967.70 and 260,054.20

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Solution

The fourth proportional to 267,830.20, 400,967.70 and 260,054.20 is: 389,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,830.20 : 400,967.70 = 260,054.20 : x
  2. Step 2: Convert to fraction form
    267,830.20/400,967.70 = 260,054.20/x
  3. Step 3: Cross multiply
    267,830.20x = 400,967.70 × 260,054.20
  4. Step 4: Simplify right side
    267,830.20x = 104,273,334,449.34
  5. Step 5: Solve for x
    x = 104,273,334,449.34/267,830.20
  6. Step 6: Final answer
    x = 389,326.28

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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.