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Finding the Fourth Proportional to 462,179.82, 637,803.77 and 258,265.87

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Solution

The fourth proportional to 462,179.82, 637,803.77 and 258,265.87 is: 356,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,179.82 : 637,803.77 = 258,265.87 : x
  2. Step 2: Convert to fraction form
    462,179.82/637,803.77 = 258,265.87/x
  3. Step 3: Cross multiply
    462,179.82x = 637,803.77 × 258,265.87
  4. Step 4: Simplify right side
    462,179.82x = 164,722,944,115.24
  5. Step 5: Solve for x
    x = 164,722,944,115.24/462,179.82
  6. Step 6: Final answer
    x = 356,404.45

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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.