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Finding the Fourth Proportional to 314,419.86, 433,908.48 and 171,182.34

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Solution

The fourth proportional to 314,419.86, 433,908.48 and 171,182.34 is: 236,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,419.86 : 433,908.48 = 171,182.34 : x
  2. Step 2: Convert to fraction form
    314,419.86/433,908.48 = 171,182.34/x
  3. Step 3: Cross multiply
    314,419.86x = 433,908.48 × 171,182.34
  4. Step 4: Simplify right side
    314,419.86x = 74,277,468,952.24
  5. Step 5: Solve for x
    x = 74,277,468,952.24/314,419.86
  6. Step 6: Final answer
    x = 236,236.57

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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.