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Finding the Fourth Proportional to 367,561.16, 507,232.48 and 206,423

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Solution

The fourth proportional to 367,561.16, 507,232.48 and 206,423 is: 284,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,561.16 : 507,232.48 = 206,423 : x
  2. Step 2: Convert to fraction form
    367,561.16/507,232.48 = 206,423/x
  3. Step 3: Cross multiply
    367,561.16x = 507,232.48 × 206,423
  4. Step 4: Simplify right side
    367,561.16x = 104,704,450,219.04
  5. Step 5: Solve for x
    x = 104,704,450,219.04/367,561.16
  6. Step 6: Final answer
    x = 284,862.66

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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.