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Finding the Fourth Proportional to 291,253.19, 401,722.37 and 194,408.22

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Solution

The fourth proportional to 291,253.19, 401,722.37 and 194,408.22 is: 268,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,253.19 : 401,722.37 = 194,408.22 : x
  2. Step 2: Convert to fraction form
    291,253.19/401,722.37 = 194,408.22/x
  3. Step 3: Cross multiply
    291,253.19x = 401,722.37 × 194,408.22
  4. Step 4: Simplify right side
    291,253.19x = 78,098,130,290.46
  5. Step 5: Solve for x
    x = 78,098,130,290.46/291,253.19
  6. Step 6: Final answer
    x = 268,145.15

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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.