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Finding the Fourth Proportional to 585,040.31, 877,593.29 and 164,283.38

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Solution

The fourth proportional to 585,040.31, 877,593.29 and 164,283.38 is: 246,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,040.31 : 877,593.29 = 164,283.38 : x
  2. Step 2: Convert to fraction form
    585,040.31/877,593.29 = 164,283.38/x
  3. Step 3: Cross multiply
    585,040.31x = 877,593.29 × 164,283.38
  4. Step 4: Simplify right side
    585,040.31x = 144,173,986,737.14
  5. Step 5: Solve for x
    x = 144,173,986,737.14/585,040.31
  6. Step 6: Final answer
    x = 246,434.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.