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Finding the Fourth Proportional to 527,297.37, 727,666.20 and 285,574.38

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Solution

The fourth proportional to 527,297.37, 727,666.20 and 285,574.38 is: 394,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,297.37 : 727,666.20 = 285,574.38 : x
  2. Step 2: Convert to fraction form
    527,297.37/727,666.20 = 285,574.38/x
  3. Step 3: Cross multiply
    527,297.37x = 727,666.20 × 285,574.38
  4. Step 4: Simplify right side
    527,297.37x = 207,802,823,911.96
  5. Step 5: Solve for x
    x = 207,802,823,911.96/527,297.37
  6. Step 6: Final answer
    x = 394,090.39

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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.