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Finding the Fourth Proportional to 538,592.74, 807,909.62 and 201,597.91

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Solution

The fourth proportional to 538,592.74, 807,909.62 and 201,597.91 is: 302,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,592.74 : 807,909.62 = 201,597.91 : x
  2. Step 2: Convert to fraction form
    538,592.74/807,909.62 = 201,597.91/x
  3. Step 3: Cross multiply
    538,592.74x = 807,909.62 × 201,597.91
  4. Step 4: Simplify right side
    538,592.74x = 162,872,890,860.89
  5. Step 5: Solve for x
    x = 162,872,890,860.89/538,592.74
  6. Step 6: Final answer
    x = 302,404.54

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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.