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Finding the Fourth Proportional to 458,355.36, 686,829.78 and 191,970.12

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Solution

The fourth proportional to 458,355.36, 686,829.78 and 191,970.12 is: 287,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,355.36 : 686,829.78 = 191,970.12 : x
  2. Step 2: Convert to fraction form
    458,355.36/686,829.78 = 191,970.12/x
  3. Step 3: Cross multiply
    458,355.36x = 686,829.78 × 191,970.12
  4. Step 4: Simplify right side
    458,355.36x = 131,850,795,286.17
  5. Step 5: Solve for x
    x = 131,850,795,286.17/458,355.36
  6. Step 6: Final answer
    x = 287,660.64

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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.