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Finding the Fourth Proportional to 314,408.47, 433,883.56 and 171,168.47

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Solution

The fourth proportional to 314,408.47, 433,883.56 and 171,168.47 is: 236,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,408.47 : 433,883.56 = 171,168.47 : x
  2. Step 2: Convert to fraction form
    314,408.47/433,883.56 = 171,168.47/x
  3. Step 3: Cross multiply
    314,408.47x = 433,883.56 × 171,168.47
  4. Step 4: Simplify right side
    314,408.47x = 74,267,184,267.51
  5. Step 5: Solve for x
    x = 74,267,184,267.51/314,408.47
  6. Step 6: Final answer
    x = 236,212.42

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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.