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Finding the Fourth Proportional to 314,381.43, 470,123.57 and 233,481.22

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Solution

The fourth proportional to 314,381.43, 470,123.57 and 233,481.22 is: 349,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,381.43 : 470,123.57 = 233,481.22 : x
  2. Step 2: Convert to fraction form
    314,381.43/470,123.57 = 233,481.22/x
  3. Step 3: Cross multiply
    314,381.43x = 470,123.57 × 233,481.22
  4. Step 4: Simplify right side
    314,381.43x = 109,765,024,082.75
  5. Step 5: Solve for x
    x = 109,765,024,082.75/314,381.43
  6. Step 6: Final answer
    x = 349,146.02

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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.