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Finding the Fourth Proportional to 411,858.48, 568,432.71 and 282,690.84

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Solution

The fourth proportional to 411,858.48, 568,432.71 and 282,690.84 is: 390,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,858.48 : 568,432.71 = 282,690.84 : x
  2. Step 2: Convert to fraction form
    411,858.48/568,432.71 = 282,690.84/x
  3. Step 3: Cross multiply
    411,858.48x = 568,432.71 × 282,690.84
  4. Step 4: Simplify right side
    411,858.48x = 160,690,717,081.66
  5. Step 5: Solve for x
    x = 160,690,717,081.66/411,858.48
  6. Step 6: Final answer
    x = 390,160.03

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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.