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Finding the Fourth Proportional to 375,723.50, 518,504.74 and 203,646.92

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Solution

The fourth proportional to 375,723.50, 518,504.74 and 203,646.92 is: 281,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,723.50 : 518,504.74 = 203,646.92 : x
  2. Step 2: Convert to fraction form
    375,723.50/518,504.74 = 203,646.92/x
  3. Step 3: Cross multiply
    375,723.50x = 518,504.74 × 203,646.92
  4. Step 4: Simplify right side
    375,723.50x = 105,591,890,204.76
  5. Step 5: Solve for x
    x = 105,591,890,204.76/375,723.50
  6. Step 6: Final answer
    x = 281,036.17

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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.