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Finding the Fourth Proportional to 462,906.55, 638,869.85 and 258,968.80

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Solution

The fourth proportional to 462,906.55, 638,869.85 and 258,968.80 is: 357,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,906.55 : 638,869.85 = 258,968.80 : x
  2. Step 2: Convert to fraction form
    462,906.55/638,869.85 = 258,968.80/x
  3. Step 3: Cross multiply
    462,906.55x = 638,869.85 × 258,968.80
  4. Step 4: Simplify right side
    462,906.55x = 165,447,358,410.68
  5. Step 5: Solve for x
    x = 165,447,358,410.68/462,906.55
  6. Step 6: Final answer
    x = 357,409.85

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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.