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Finding the Fourth Proportional to 305,978.58, 458,967.78 and 95,616.54

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Solution

The fourth proportional to 305,978.58, 458,967.78 and 95,616.54 is: 143,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,978.58 : 458,967.78 = 95,616.54 : x
  2. Step 2: Convert to fraction form
    305,978.58/458,967.78 = 95,616.54/x
  3. Step 3: Cross multiply
    305,978.58x = 458,967.78 × 95,616.54
  4. Step 4: Simplify right side
    305,978.58x = 43,884,911,095.08
  5. Step 5: Solve for x
    x = 43,884,911,095.08/305,978.58
  6. Step 6: Final answer
    x = 143,424.78

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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.