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Finding the Fourth Proportional to 462,884.72, 638,750.78 and 258,900.30

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Solution

The fourth proportional to 462,884.72, 638,750.78 and 258,900.30 is: 357,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,884.72 : 638,750.78 = 258,900.30 : x
  2. Step 2: Convert to fraction form
    462,884.72/638,750.78 = 258,900.30/x
  3. Step 3: Cross multiply
    462,884.72x = 638,750.78 × 258,900.30
  4. Step 4: Simplify right side
    462,884.72x = 165,372,768,567.23
  5. Step 5: Solve for x
    x = 165,372,768,567.23/462,884.72
  6. Step 6: Final answer
    x = 357,265.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.