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Finding the Fourth Proportional to 462,132.41, 637,755.72 and 258,205.79

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Solution

The fourth proportional to 462,132.41, 637,755.72 and 258,205.79 is: 356,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,132.41 : 637,755.72 = 258,205.79 : x
  2. Step 2: Convert to fraction form
    462,132.41/637,755.72 = 258,205.79/x
  3. Step 3: Cross multiply
    462,132.41x = 637,755.72 × 258,205.79
  4. Step 4: Simplify right side
    462,132.41x = 164,672,216,320.84
  5. Step 5: Solve for x
    x = 164,672,216,320.84/462,132.41
  6. Step 6: Final answer
    x = 356,331.25

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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.