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Finding the Fourth Proportional to 462,558.66, 638,332.02 and 258,616.86

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Solution

The fourth proportional to 462,558.66, 638,332.02 and 258,616.86 is: 356,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,558.66 : 638,332.02 = 258,616.86 : x
  2. Step 2: Convert to fraction form
    462,558.66/638,332.02 = 258,616.86/x
  3. Step 3: Cross multiply
    462,558.66x = 638,332.02 × 258,616.86
  4. Step 4: Simplify right side
    462,558.66x = 165,083,422,649.86
  5. Step 5: Solve for x
    x = 165,083,422,649.86/462,558.66
  6. Step 6: Final answer
    x = 356,891.86

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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.