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Finding the Fourth Proportional to 375,522.75, 518,233.55 and 205,767.81

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Solution

The fourth proportional to 375,522.75, 518,233.55 and 205,767.81 is: 283,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,522.75 : 518,233.55 = 205,767.81 : x
  2. Step 2: Convert to fraction form
    375,522.75/518,233.55 = 205,767.81/x
  3. Step 3: Cross multiply
    375,522.75x = 518,233.55 × 205,767.81
  4. Step 4: Simplify right side
    375,522.75x = 106,635,781,623.19
  5. Step 5: Solve for x
    x = 106,635,781,623.19/375,522.75
  6. Step 6: Final answer
    x = 283,966.24

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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.