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Finding the Fourth Proportional to 675,754.80, 932,392.80 and 403,782

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Solution

The fourth proportional to 675,754.80, 932,392.80 and 403,782 is: 557,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,754.80 : 932,392.80 = 403,782 : x
  2. Step 2: Convert to fraction form
    675,754.80/932,392.80 = 403,782/x
  3. Step 3: Cross multiply
    675,754.80x = 932,392.80 × 403,782
  4. Step 4: Simplify right side
    675,754.80x = 376,483,429,569.60
  5. Step 5: Solve for x
    x = 376,483,429,569.60/675,754.80
  6. Step 6: Final answer
    x = 557,130.23

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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.