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Finding the Fourth Proportional to 322,431.92, 483,647.16 and 85,774.64

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Solution

The fourth proportional to 322,431.92, 483,647.16 and 85,774.64 is: 128,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,431.92 : 483,647.16 = 85,774.64 : x
  2. Step 2: Convert to fraction form
    322,431.92/483,647.16 = 85,774.64/x
  3. Step 3: Cross multiply
    322,431.92x = 483,647.16 × 85,774.64
  4. Step 4: Simplify right side
    322,431.92x = 41,484,661,036.02
  5. Step 5: Solve for x
    x = 41,484,661,036.02/322,431.92
  6. Step 6: Final answer
    x = 128,661.77

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1.5x scale

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.