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Finding the Fourth Proportional to 314,243.68, 433,665.48 and 171,013

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Solution

The fourth proportional to 314,243.68, 433,665.48 and 171,013 is: 236,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,243.68 : 433,665.48 = 171,013 : x
  2. Step 2: Convert to fraction form
    314,243.68/433,665.48 = 171,013/x
  3. Step 3: Cross multiply
    314,243.68x = 433,665.48 × 171,013
  4. Step 4: Simplify right side
    314,243.68x = 74,162,434,731.24
  5. Step 5: Solve for x
    x = 74,162,434,731.24/314,243.68
  6. Step 6: Final answer
    x = 236,002.95

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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.