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Finding the Fourth Proportional to 538,552.40, 807,849.09 and 201,557.57

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Solution

The fourth proportional to 538,552.40, 807,849.09 and 201,557.57 is: 302,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,552.40 : 807,849.09 = 201,557.57 : x
  2. Step 2: Convert to fraction form
    538,552.40/807,849.09 = 201,557.57/x
  3. Step 3: Cross multiply
    538,552.40x = 807,849.09 × 201,557.57
  4. Step 4: Simplify right side
    538,552.40x = 162,828,099,507.11
  5. Step 5: Solve for x
    x = 162,828,099,507.11/538,552.40
  6. Step 6: Final answer
    x = 302,344.02

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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.