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Finding the Fourth Proportional to 458,246.96, 687,381.96 and 125,822

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Solution

The fourth proportional to 458,246.96, 687,381.96 and 125,822 is: 188,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,246.96 : 687,381.96 = 125,822 : x
  2. Step 2: Convert to fraction form
    458,246.96/687,381.96 = 125,822/x
  3. Step 3: Cross multiply
    458,246.96x = 687,381.96 × 125,822
  4. Step 4: Simplify right side
    458,246.96x = 86,487,772,971.12
  5. Step 5: Solve for x
    x = 86,487,772,971.12/458,246.96
  6. Step 6: Final answer
    x = 188,736.16

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