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Finding the Fourth Proportional to 314,249.69, 433,663.77 and 171,009.70

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Solution

The fourth proportional to 314,249.69, 433,663.77 and 171,009.70 is: 235,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,249.69 : 433,663.77 = 171,009.70 : x
  2. Step 2: Convert to fraction form
    314,249.69/433,663.77 = 171,009.70/x
  3. Step 3: Cross multiply
    314,249.69x = 433,663.77 × 171,009.70
  4. Step 4: Simplify right side
    314,249.69x = 74,160,710,765.70
  5. Step 5: Solve for x
    x = 74,160,710,765.70/314,249.69
  6. Step 6: Final answer
    x = 235,992.95

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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.