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Finding the Fourth Proportional to 279,712.80, 418,746.24 and 184,767.84

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Solution

The fourth proportional to 279,712.80, 418,746.24 and 184,767.84 is: 276,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,712.80 : 418,746.24 = 184,767.84 : x
  2. Step 2: Convert to fraction form
    279,712.80/418,746.24 = 184,767.84/x
  3. Step 3: Cross multiply
    279,712.80x = 418,746.24 × 184,767.84
  4. Step 4: Simplify right side
    279,712.80x = 77,370,838,272.92
  5. Step 5: Solve for x
    x = 77,370,838,272.92/279,712.80
  6. Step 6: Final answer
    x = 276,608.14

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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.