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Finding the Fourth Proportional to 258,315.60, 387,473.40 and 199,266.60

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Solution

The fourth proportional to 258,315.60, 387,473.40 and 199,266.60 is: 298,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,315.60 : 387,473.40 = 199,266.60 : x
  2. Step 2: Convert to fraction form
    258,315.60/387,473.40 = 199,266.60/x
  3. Step 3: Cross multiply
    258,315.60x = 387,473.40 × 199,266.60
  4. Step 4: Simplify right side
    258,315.60x = 77,210,507,008.44
  5. Step 5: Solve for x
    x = 77,210,507,008.44/258,315.60
  6. Step 6: Final answer
    x = 298,899.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.