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Finding the Fourth Proportional to 411,858.79, 568,433.14 and 282,691.15

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Solution

The fourth proportional to 411,858.79, 568,433.14 and 282,691.15 is: 390,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,858.79 : 568,433.14 = 282,691.15 : x
  2. Step 2: Convert to fraction form
    411,858.79/568,433.14 = 282,691.15/x
  3. Step 3: Cross multiply
    411,858.79x = 568,433.14 × 282,691.15
  4. Step 4: Simplify right side
    411,858.79x = 160,691,018,759.07
  5. Step 5: Solve for x
    x = 160,691,018,759.07/411,858.79
  6. Step 6: Final answer
    x = 390,160.47

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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.