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Finding the Fourth Proportional to 367,808.49, 507,590.64 and 206,663.04

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Solution

The fourth proportional to 367,808.49, 507,590.64 and 206,663.04 is: 285,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,808.49 : 507,590.64 = 206,663.04 : x
  2. Step 2: Convert to fraction form
    367,808.49/507,590.64 = 206,663.04/x
  3. Step 3: Cross multiply
    367,808.49x = 507,590.64 × 206,663.04
  4. Step 4: Simplify right side
    367,808.49x = 104,900,224,737.95
  5. Step 5: Solve for x
    x = 104,900,224,737.95/367,808.49
  6. Step 6: Final answer
    x = 285,203.38

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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.