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Finding the Fourth Proportional to 267,884.10, 401,826.15 and 208,764

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Solution

The fourth proportional to 267,884.10, 401,826.15 and 208,764 is: 313,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,884.10 : 401,826.15 = 208,764 : x
  2. Step 2: Convert to fraction form
    267,884.10/401,826.15 = 208,764/x
  3. Step 3: Cross multiply
    267,884.10x = 401,826.15 × 208,764
  4. Step 4: Simplify right side
    267,884.10x = 83,886,834,378.60
  5. Step 5: Solve for x
    x = 83,886,834,378.60/267,884.10
  6. Step 6: Final answer
    x = 313,146.00

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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.