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Finding the Fourth Proportional to 462,098.88, 637,673.54 and 258,109.18

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Solution

The fourth proportional to 462,098.88, 637,673.54 and 258,109.18 is: 356,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,098.88 : 637,673.54 = 258,109.18 : x
  2. Step 2: Convert to fraction form
    462,098.88/637,673.54 = 258,109.18/x
  3. Step 3: Cross multiply
    462,098.88x = 637,673.54 × 258,109.18
  4. Step 4: Simplify right side
    462,098.88x = 164,589,391,632.37
  5. Step 5: Solve for x
    x = 164,589,391,632.37/462,098.88
  6. Step 6: Final answer
    x = 356,177.86

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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.