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Finding the Fourth Proportional to 314,252.13, 433,667.13 and 171,012.14

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Solution

The fourth proportional to 314,252.13, 433,667.13 and 171,012.14 is: 235,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,252.13 : 433,667.13 = 171,012.14 : x
  2. Step 2: Convert to fraction form
    314,252.13/433,667.13 = 171,012.14/x
  3. Step 3: Cross multiply
    314,252.13x = 433,667.13 × 171,012.14
  4. Step 4: Simplify right side
    314,252.13x = 74,162,341,780.62
  5. Step 5: Solve for x
    x = 74,162,341,780.62/314,252.13
  6. Step 6: Final answer
    x = 235,996.31

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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.