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Finding the Fourth Proportional to 314,404.28, 433,864.26 and 171,164.81

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Solution

The fourth proportional to 314,404.28, 433,864.26 and 171,164.81 is: 236,200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,404.28 : 433,864.26 = 171,164.81 : x
  2. Step 2: Convert to fraction form
    314,404.28/433,864.26 = 171,164.81/x
  3. Step 3: Cross multiply
    314,404.28x = 433,864.26 × 171,164.81
  4. Step 4: Simplify right side
    314,404.28x = 74,262,293,628.69
  5. Step 5: Solve for x
    x = 74,262,293,628.69/314,404.28
  6. Step 6: Final answer
    x = 236,200.01

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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.