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Finding the Fourth Proportional to 314,349.29, 433,811.81 and 171,118.88

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Solution

The fourth proportional to 314,349.29, 433,811.81 and 171,118.88 is: 236,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,349.29 : 433,811.81 = 171,118.88 : x
  2. Step 2: Convert to fraction form
    314,349.29/433,811.81 = 171,118.88/x
  3. Step 3: Cross multiply
    314,349.29x = 433,811.81 × 171,118.88
  4. Step 4: Simplify right side
    314,349.29x = 74,233,390,202.38
  5. Step 5: Solve for x
    x = 74,233,390,202.38/314,349.29
  6. Step 6: Final answer
    x = 236,149.38

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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.