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Finding the Fourth Proportional to 305,894.16, 458,841.24 and 95,548.68

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Solution

The fourth proportional to 305,894.16, 458,841.24 and 95,548.68 is: 143,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,894.16 : 458,841.24 = 95,548.68 : x
  2. Step 2: Convert to fraction form
    305,894.16/458,841.24 = 95,548.68/x
  3. Step 3: Cross multiply
    305,894.16x = 458,841.24 × 95,548.68
  4. Step 4: Simplify right side
    305,894.16x = 43,841,674,811.56
  5. Step 5: Solve for x
    x = 43,841,674,811.56/305,894.16
  6. Step 6: Final answer
    x = 143,323.02

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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.