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Finding the Fourth Proportional to 375,690.06, 518,461.29 and 205,933.50

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Solution

The fourth proportional to 375,690.06, 518,461.29 and 205,933.50 is: 284,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,690.06 : 518,461.29 = 205,933.50 : x
  2. Step 2: Convert to fraction form
    375,690.06/518,461.29 = 205,933.50/x
  3. Step 3: Cross multiply
    375,690.06x = 518,461.29 × 205,933.50
  4. Step 4: Simplify right side
    375,690.06x = 106,768,548,064.22
  5. Step 5: Solve for x
    x = 106,768,548,064.22/375,690.06
  6. Step 6: Final answer
    x = 284,193.17

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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.