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Finding the Fourth Proportional to 332,065.92, 458,349.12 and 231,496.32

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Solution

The fourth proportional to 332,065.92, 458,349.12 and 231,496.32 is: 319,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,065.92 : 458,349.12 = 231,496.32 : x
  2. Step 2: Convert to fraction form
    332,065.92/458,349.12 = 231,496.32/x
  3. Step 3: Cross multiply
    332,065.92x = 458,349.12 × 231,496.32
  4. Step 4: Simplify right side
    332,065.92x = 106,106,134,555.24
  5. Step 5: Solve for x
    x = 106,106,134,555.24/332,065.92
  6. Step 6: Final answer
    x = 319,533.35

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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.