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Finding the Fourth Proportional to 409,699.59, 565,339.82 and 248,593.83

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Solution

The fourth proportional to 409,699.59, 565,339.82 and 248,593.83 is: 343,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,699.59 : 565,339.82 = 248,593.83 : x
  2. Step 2: Convert to fraction form
    409,699.59/565,339.82 = 248,593.83/x
  3. Step 3: Cross multiply
    409,699.59x = 565,339.82 × 248,593.83
  4. Step 4: Simplify right side
    409,699.59x = 140,539,989,862.34
  5. Step 5: Solve for x
    x = 140,539,989,862.34/409,699.59
  6. Step 6: Final answer
    x = 343,031.80

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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.