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Finding the Fourth Proportional to 375,832.84, 518,649.06 and 206,069.80

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Solution

The fourth proportional to 375,832.84, 518,649.06 and 206,069.80 is: 284,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,832.84 : 518,649.06 = 206,069.80 : x
  2. Step 2: Convert to fraction form
    375,832.84/518,649.06 = 206,069.80/x
  3. Step 3: Cross multiply
    375,832.84x = 518,649.06 × 206,069.80
  4. Step 4: Simplify right side
    375,832.84x = 106,877,908,064.39
  5. Step 5: Solve for x
    x = 106,877,908,064.39/375,832.84
  6. Step 6: Final answer
    x = 284,376.18

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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.