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Finding the Fourth Proportional to 823,324.76, 1,136,307.03 and 474,398.36

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Solution

The fourth proportional to 823,324.76, 1,136,307.03 and 474,398.36 is: 654,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,324.76 : 1,136,307.03 = 474,398.36 : x
  2. Step 2: Convert to fraction form
    823,324.76/1,136,307.03 = 474,398.36/x
  3. Step 3: Cross multiply
    823,324.76x = 1,136,307.03 × 474,398.36
  4. Step 4: Simplify right side
    823,324.76x = 539,062,183,434.94
  5. Step 5: Solve for x
    x = 539,062,183,434.94/823,324.76
  6. Step 6: Final answer
    x = 654,738.22

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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.