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Finding the Fourth Proportional to 314,408.43, 433,881 and 171,168.17

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Solution

The fourth proportional to 314,408.43, 433,881 and 171,168.17 is: 236,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,408.43 : 433,881 = 171,168.17 : x
  2. Step 2: Convert to fraction form
    314,408.43/433,881 = 171,168.17/x
  3. Step 3: Cross multiply
    314,408.43x = 433,881 × 171,168.17
  4. Step 4: Simplify right side
    314,408.43x = 74,266,614,598.37
  5. Step 5: Solve for x
    x = 74,266,614,598.37/314,408.43
  6. Step 6: Final answer
    x = 236,210.63

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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.