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Finding the Fourth Proportional to 458,352.36, 686,825.28 and 191,967.12

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Solution

The fourth proportional to 458,352.36, 686,825.28 and 191,967.12 is: 287,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,352.36 : 686,825.28 = 191,967.12 : x
  2. Step 2: Convert to fraction form
    458,352.36/686,825.28 = 191,967.12/x
  3. Step 3: Cross multiply
    458,352.36x = 686,825.28 × 191,967.12
  4. Step 4: Simplify right side
    458,352.36x = 131,847,870,944.79
  5. Step 5: Solve for x
    x = 131,847,870,944.79/458,352.36
  6. Step 6: Final answer
    x = 287,656.14

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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.