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Finding the Fourth Proportional to 296,399.93, 409,108.54 and 193,291.13

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Solution

The fourth proportional to 296,399.93, 409,108.54 and 193,291.13 is: 266,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,399.93 : 409,108.54 = 193,291.13 : x
  2. Step 2: Convert to fraction form
    296,399.93/409,108.54 = 193,291.13/x
  3. Step 3: Cross multiply
    296,399.93x = 409,108.54 × 193,291.13
  4. Step 4: Simplify right side
    296,399.93x = 79,077,054,248.25
  5. Step 5: Solve for x
    x = 79,077,054,248.25/296,399.93
  6. Step 6: Final answer
    x = 266,791.74

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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.