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Finding the Fourth Proportional to 313,933.52, 433,225 and 233,719.76

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Solution

The fourth proportional to 313,933.52, 433,225 and 233,719.76 is: 322,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,933.52 : 433,225 = 233,719.76 : x
  2. Step 2: Convert to fraction form
    313,933.52/433,225 = 233,719.76/x
  3. Step 3: Cross multiply
    313,933.52x = 433,225 × 233,719.76
  4. Step 4: Simplify right side
    313,933.52x = 101,253,243,026
  5. Step 5: Solve for x
    x = 101,253,243,026/313,933.52
  6. Step 6: Final answer
    x = 322,530.84

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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.