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Finding the Fourth Proportional to 356,715.30, 492,265.17 and 195,577.14

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Solution

The fourth proportional to 356,715.30, 492,265.17 and 195,577.14 is: 269,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,715.30 : 492,265.17 = 195,577.14 : x
  2. Step 2: Convert to fraction form
    356,715.30/492,265.17 = 195,577.14/x
  3. Step 3: Cross multiply
    356,715.30x = 492,265.17 × 195,577.14
  4. Step 4: Simplify right side
    356,715.30x = 96,275,814,070.21
  5. Step 5: Solve for x
    x = 96,275,814,070.21/356,715.30
  6. Step 6: Final answer
    x = 269,895.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.