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Finding the Fourth Proportional to 375,831.84, 518,647.68 and 206,068.80

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Solution

The fourth proportional to 375,831.84, 518,647.68 and 206,068.80 is: 284,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,831.84 : 518,647.68 = 206,068.80 : x
  2. Step 2: Convert to fraction form
    375,831.84/518,647.68 = 206,068.80/x
  3. Step 3: Cross multiply
    375,831.84x = 518,647.68 × 206,068.80
  4. Step 4: Simplify right side
    375,831.84x = 106,877,105,040.38
  5. Step 5: Solve for x
    x = 106,877,105,040.38/375,831.84
  6. Step 6: Final answer
    x = 284,374.80

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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.