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Finding the Fourth Proportional to 367,710.21, 507,412.83 and 206,592.12

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Solution

The fourth proportional to 367,710.21, 507,412.83 and 206,592.12 is: 285,081.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,710.21 : 507,412.83 = 206,592.12 : x
  2. Step 2: Convert to fraction form
    367,710.21/507,412.83 = 206,592.12/x
  3. Step 3: Cross multiply
    367,710.21x = 507,412.83 × 206,592.12
  4. Step 4: Simplify right side
    367,710.21x = 104,827,492,264.90
  5. Step 5: Solve for x
    x = 104,827,492,264.90/367,710.21
  6. Step 6: Final answer
    x = 285,081.81

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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.