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Finding the Fourth Proportional to 295,708.82, 407,935.91 and 193,690.13

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Solution

The fourth proportional to 295,708.82, 407,935.91 and 193,690.13 is: 267,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,708.82 : 407,935.91 = 193,690.13 : x
  2. Step 2: Convert to fraction form
    295,708.82/407,935.91 = 193,690.13/x
  3. Step 3: Cross multiply
    295,708.82x = 407,935.91 × 193,690.13
  4. Step 4: Simplify right side
    295,708.82x = 79,013,157,884.11
  5. Step 5: Solve for x
    x = 79,013,157,884.11/295,708.82
  6. Step 6: Final answer
    x = 267,199.20

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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.