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Finding the Fourth Proportional to 399,371.64, 598,857.14 and 133,038.52

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Solution

The fourth proportional to 399,371.64, 598,857.14 and 133,038.52 is: 199,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,371.64 : 598,857.14 = 133,038.52 : x
  2. Step 2: Convert to fraction form
    399,371.64/598,857.14 = 133,038.52/x
  3. Step 3: Cross multiply
    399,371.64x = 598,857.14 × 133,038.52
  4. Step 4: Simplify right side
    399,371.64x = 79,671,067,597.03
  5. Step 5: Solve for x
    x = 79,671,067,597.03/399,371.64
  6. Step 6: Final answer
    x = 199,491.05

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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.