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Finding the Fourth Proportional to 411,781.74, 568,031.60 and 289,462.15

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Solution

The fourth proportional to 411,781.74, 568,031.60 and 289,462.15 is: 399,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,781.74 : 568,031.60 = 289,462.15 : x
  2. Step 2: Convert to fraction form
    411,781.74/568,031.60 = 289,462.15/x
  3. Step 3: Cross multiply
    411,781.74x = 568,031.60 × 289,462.15
  4. Step 4: Simplify right side
    411,781.74x = 164,423,649,637.64
  5. Step 5: Solve for x
    x = 164,423,649,637.64/411,781.74
  6. Step 6: Final answer
    x = 399,298.06

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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.