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Finding the Fourth Proportional to 462,144.80, 637,748.07 and 258,197.25

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Solution

The fourth proportional to 462,144.80, 637,748.07 and 258,197.25 is: 356,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,144.80 : 637,748.07 = 258,197.25 : x
  2. Step 2: Convert to fraction form
    462,144.80/637,748.07 = 258,197.25/x
  3. Step 3: Cross multiply
    462,144.80x = 637,748.07 × 258,197.25
  4. Step 4: Simplify right side
    462,144.80x = 164,664,797,866.81
  5. Step 5: Solve for x
    x = 164,664,797,866.81/462,144.80
  6. Step 6: Final answer
    x = 356,305.64

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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.