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Finding the Fourth Proportional to 423,249.78, 584,101.52 and 232,270

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Solution

The fourth proportional to 423,249.78, 584,101.52 and 232,270 is: 320,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,249.78 : 584,101.52 = 232,270 : x
  2. Step 2: Convert to fraction form
    423,249.78/584,101.52 = 232,270/x
  3. Step 3: Cross multiply
    423,249.78x = 584,101.52 × 232,270
  4. Step 4: Simplify right side
    423,249.78x = 135,669,260,050.40
  5. Step 5: Solve for x
    x = 135,669,260,050.40/423,249.78
  6. Step 6: Final answer
    x = 320,541.83

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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.