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Finding the Fourth Proportional to 314,484.96, 433,997.52 and 171,251.04

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Solution

The fourth proportional to 314,484.96, 433,997.52 and 171,251.04 is: 236,330.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,484.96 : 433,997.52 = 171,251.04 : x
  2. Step 2: Convert to fraction form
    314,484.96/433,997.52 = 171,251.04/x
  3. Step 3: Cross multiply
    314,484.96x = 433,997.52 × 171,251.04
  4. Step 4: Simplify right side
    314,484.96x = 74,322,526,657.42
  5. Step 5: Solve for x
    x = 74,322,526,657.42/314,484.96
  6. Step 6: Final answer
    x = 236,330.94

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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.