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Finding the Fourth Proportional to 458,362.76, 687,577.26 and 191,855.24

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Solution

The fourth proportional to 458,362.76, 687,577.26 and 191,855.24 is: 287,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,362.76 : 687,577.26 = 191,855.24 : x
  2. Step 2: Convert to fraction form
    458,362.76/687,577.26 = 191,855.24/x
  3. Step 3: Cross multiply
    458,362.76x = 687,577.26 × 191,855.24
  4. Step 4: Simplify right side
    458,362.76x = 131,915,300,235.84
  5. Step 5: Solve for x
    x = 131,915,300,235.84/458,362.76
  6. Step 6: Final answer
    x = 287,796.72

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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.