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Finding the Fourth Proportional to 314,327.38, 433,781.18 and 193,538.36

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Solution

The fourth proportional to 314,327.38, 433,781.18 and 193,538.36 is: 267,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,327.38 : 433,781.18 = 193,538.36 : x
  2. Step 2: Convert to fraction form
    314,327.38/433,781.18 = 193,538.36/x
  3. Step 3: Cross multiply
    314,327.38x = 433,781.18 × 193,538.36
  4. Step 4: Simplify right side
    314,327.38x = 83,953,298,176.06
  5. Step 5: Solve for x
    x = 83,953,298,176.06/314,327.38
  6. Step 6: Final answer
    x = 267,088.72

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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.