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Finding the Fourth Proportional to 375,496, 518,184.80 and 205,730.88

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Solution

The fourth proportional to 375,496, 518,184.80 and 205,730.88 is: 283,908.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,496 : 518,184.80 = 205,730.88 : x
  2. Step 2: Convert to fraction form
    375,496/518,184.80 = 205,730.88/x
  3. Step 3: Cross multiply
    375,496x = 518,184.80 × 205,730.88
  4. Step 4: Simplify right side
    375,496x = 106,606,614,906.62
  5. Step 5: Solve for x
    x = 106,606,614,906.62/375,496
  6. Step 6: Final answer
    x = 283,908.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.