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Finding the Fourth Proportional to 314,321.44, 433,750.32 and 171,081.76

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Solution

The fourth proportional to 314,321.44, 433,750.32 and 171,081.76 is: 236,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,321.44 : 433,750.32 = 171,081.76 : x
  2. Step 2: Convert to fraction form
    314,321.44/433,750.32 = 171,081.76/x
  3. Step 3: Cross multiply
    314,321.44x = 433,750.32 × 171,081.76
  4. Step 4: Simplify right side
    314,321.44x = 74,206,768,146.16
  5. Step 5: Solve for x
    x = 74,206,768,146.16/314,321.44
  6. Step 6: Final answer
    x = 236,085.61

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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.