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Finding the Fourth Proportional to 314,308.36, 433,754.73 and 171,077.68

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Solution

The fourth proportional to 314,308.36, 433,754.73 and 171,077.68 is: 236,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,308.36 : 433,754.73 = 171,077.68 : x
  2. Step 2: Convert to fraction form
    314,308.36/433,754.73 = 171,077.68/x
  3. Step 3: Cross multiply
    314,308.36x = 433,754.73 × 171,077.68
  4. Step 4: Simplify right side
    314,308.36x = 74,205,752,897.43
  5. Step 5: Solve for x
    x = 74,205,752,897.43/314,308.36
  6. Step 6: Final answer
    x = 236,092.20

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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.