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Finding the Fourth Proportional to 375,443.16, 518,124.75 and 205,677.27

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Solution

The fourth proportional to 375,443.16, 518,124.75 and 205,677.27 is: 283,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,443.16 : 518,124.75 = 205,677.27 : x
  2. Step 2: Convert to fraction form
    375,443.16/518,124.75 = 205,677.27/x
  3. Step 3: Cross multiply
    375,443.16x = 518,124.75 × 205,677.27
  4. Step 4: Simplify right side
    375,443.16x = 106,566,484,099.43
  5. Step 5: Solve for x
    x = 106,566,484,099.43/375,443.16
  6. Step 6: Final answer
    x = 283,841.86

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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.