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Finding the Fourth Proportional to 257,026.40, 354,447.60 and 200,417.12

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Solution

The fourth proportional to 257,026.40, 354,447.60 and 200,417.12 is: 276,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,026.40 : 354,447.60 = 200,417.12 : x
  2. Step 2: Convert to fraction form
    257,026.40/354,447.60 = 200,417.12/x
  3. Step 3: Cross multiply
    257,026.40x = 354,447.60 × 200,417.12
  4. Step 4: Simplify right side
    257,026.40x = 71,037,367,182.91
  5. Step 5: Solve for x
    x = 71,037,367,182.91/257,026.40
  6. Step 6: Final answer
    x = 276,381.60

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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.