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Finding the Fourth Proportional to 375,647.16, 518,369.58 and 205,869.24

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Solution

The fourth proportional to 375,647.16, 518,369.58 and 205,869.24 is: 284,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,647.16 : 518,369.58 = 205,869.24 : x
  2. Step 2: Convert to fraction form
    375,647.16/518,369.58 = 205,869.24/x
  3. Step 3: Cross multiply
    375,647.16x = 518,369.58 × 205,869.24
  4. Step 4: Simplify right side
    375,647.16x = 106,716,351,473.72
  5. Step 5: Solve for x
    x = 106,716,351,473.72/375,647.16
  6. Step 6: Final answer
    x = 284,086.67

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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.