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Finding the Fourth Proportional to 367,423.86, 507,052.80 and 206,283.27

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Solution

The fourth proportional to 367,423.86, 507,052.80 and 206,283.27 is: 284,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,423.86 : 507,052.80 = 206,283.27 : x
  2. Step 2: Convert to fraction form
    367,423.86/507,052.80 = 206,283.27/x
  3. Step 3: Cross multiply
    367,423.86x = 507,052.80 × 206,283.27
  4. Step 4: Simplify right side
    367,423.86x = 104,596,509,646.66
  5. Step 5: Solve for x
    x = 104,596,509,646.66/367,423.86
  6. Step 6: Final answer
    x = 284,675.33

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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.