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Finding the Fourth Proportional to 299,033.52, 412,699.14 and 184,288.92

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Solution

The fourth proportional to 299,033.52, 412,699.14 and 184,288.92 is: 254,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,033.52 : 412,699.14 = 184,288.92 : x
  2. Step 2: Convert to fraction form
    299,033.52/412,699.14 = 184,288.92/x
  3. Step 3: Cross multiply
    299,033.52x = 412,699.14 × 184,288.92
  4. Step 4: Simplify right side
    299,033.52x = 76,055,878,795.53
  5. Step 5: Solve for x
    x = 76,055,878,795.53/299,033.52
  6. Step 6: Final answer
    x = 254,338.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.