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Finding the Fourth Proportional to 538,282.42, 807,548.70 and 183,299.52

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Solution

The fourth proportional to 538,282.42, 807,548.70 and 183,299.52 is: 274,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,282.42 : 807,548.70 = 183,299.52 : x
  2. Step 2: Convert to fraction form
    538,282.42/807,548.70 = 183,299.52/x
  3. Step 3: Cross multiply
    538,282.42x = 807,548.70 × 183,299.52
  4. Step 4: Simplify right side
    538,282.42x = 148,023,288,259.84
  5. Step 5: Solve for x
    x = 148,023,288,259.84/538,282.42
  6. Step 6: Final answer
    x = 274,991.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.