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Finding the Fourth Proportional to 314,253.13, 433,668.51 and 171,013.14

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Solution

The fourth proportional to 314,253.13, 433,668.51 and 171,013.14 is: 235,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,253.13 : 433,668.51 = 171,013.14 : x
  2. Step 2: Convert to fraction form
    314,253.13/433,668.51 = 171,013.14/x
  3. Step 3: Cross multiply
    314,253.13x = 433,668.51 × 171,013.14
  4. Step 4: Simplify right side
    314,253.13x = 74,163,013,614.22
  5. Step 5: Solve for x
    x = 74,163,013,614.22/314,253.13
  6. Step 6: Final answer
    x = 235,997.69

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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.