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Finding the Fourth Proportional to 508,538.44, 762,844.14 and 134,557

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Solution

The fourth proportional to 508,538.44, 762,844.14 and 134,557 is: 201,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,538.44 : 762,844.14 = 134,557 : x
  2. Step 2: Convert to fraction form
    508,538.44/762,844.14 = 134,557/x
  3. Step 3: Cross multiply
    508,538.44x = 762,844.14 × 134,557
  4. Step 4: Simplify right side
    508,538.44x = 102,646,018,945.98
  5. Step 5: Solve for x
    x = 102,646,018,945.98/508,538.44
  6. Step 6: Final answer
    x = 201,845.15

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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.