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Finding the Fourth Proportional to 571,264.50, 857,410.68 and 305,252.40

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Solution

The fourth proportional to 571,264.50, 857,410.68 and 305,252.40 is: 458,153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,264.50 : 857,410.68 = 305,252.40 : x
  2. Step 2: Convert to fraction form
    571,264.50/857,410.68 = 305,252.40/x
  3. Step 3: Cross multiply
    571,264.50x = 857,410.68 × 305,252.40
  4. Step 4: Simplify right side
    571,264.50x = 261,726,667,855.63
  5. Step 5: Solve for x
    x = 261,726,667,855.63/571,264.50
  6. Step 6: Final answer
    x = 458,153.22

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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.