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Finding the Fourth Proportional to 437,301.84, 655,314.48 and 193,849.20

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Solution

The fourth proportional to 437,301.84, 655,314.48 and 193,849.20 is: 290,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,301.84 : 655,314.48 = 193,849.20 : x
  2. Step 2: Convert to fraction form
    437,301.84/655,314.48 = 193,849.20/x
  3. Step 3: Cross multiply
    437,301.84x = 655,314.48 × 193,849.20
  4. Step 4: Simplify right side
    437,301.84x = 127,032,187,696.42
  5. Step 5: Solve for x
    x = 127,032,187,696.42/437,301.84
  6. Step 6: Final answer
    x = 290,490.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.