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Finding the Fourth Proportional to 334,455.88, 461,549.12 and 200,319.88

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Solution

The fourth proportional to 334,455.88, 461,549.12 and 200,319.88 is: 276,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,455.88 : 461,549.12 = 200,319.88 : x
  2. Step 2: Convert to fraction form
    334,455.88/461,549.12 = 200,319.88/x
  3. Step 3: Cross multiply
    334,455.88x = 461,549.12 × 200,319.88
  4. Step 4: Simplify right side
    334,455.88x = 92,457,461,023.16
  5. Step 5: Solve for x
    x = 92,457,461,023.16/334,455.88
  6. Step 6: Final answer
    x = 276,441.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.