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Finding the Fourth Proportional to 458,282.67, 687,259.96 and 158,682.81

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Solution

The fourth proportional to 458,282.67, 687,259.96 and 158,682.81 is: 237,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,282.67 : 687,259.96 = 158,682.81 : x
  2. Step 2: Convert to fraction form
    458,282.67/687,259.96 = 158,682.81/x
  3. Step 3: Cross multiply
    458,282.67x = 687,259.96 × 158,682.81
  4. Step 4: Simplify right side
    458,282.67x = 109,056,341,653.29
  5. Step 5: Solve for x
    x = 109,056,341,653.29/458,282.67
  6. Step 6: Final answer
    x = 237,967.41

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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.