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Finding the Fourth Proportional to 832,846.84, 1,149,328.56 and 465,324.06

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Solution

The fourth proportional to 832,846.84, 1,149,328.56 and 465,324.06 is: 642,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,846.84 : 1,149,328.56 = 465,324.06 : x
  2. Step 2: Convert to fraction form
    832,846.84/1,149,328.56 = 465,324.06/x
  3. Step 3: Cross multiply
    832,846.84x = 1,149,328.56 × 465,324.06
  4. Step 4: Simplify right side
    832,846.84x = 534,810,231,813.15
  5. Step 5: Solve for x
    x = 534,810,231,813.15/832,846.84
  6. Step 6: Final answer
    x = 642,147.16

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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.