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Finding the Fourth Proportional to 585,682.29, 808,301.19 and 356,255.40

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Solution

The fourth proportional to 585,682.29, 808,301.19 and 356,255.40 is: 491,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,682.29 : 808,301.19 = 356,255.40 : x
  2. Step 2: Convert to fraction form
    585,682.29/808,301.19 = 356,255.40/x
  3. Step 3: Cross multiply
    585,682.29x = 808,301.19 × 356,255.40
  4. Step 4: Simplify right side
    585,682.29x = 287,961,657,941.14
  5. Step 5: Solve for x
    x = 287,961,657,941.14/585,682.29
  6. Step 6: Final answer
    x = 491,668.71

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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.