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Finding the Fourth Proportional to 413,599.29, 620,442.07 and 114,079.92

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Solution

The fourth proportional to 413,599.29, 620,442.07 and 114,079.92 is: 171,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,599.29 : 620,442.07 = 114,079.92 : x
  2. Step 2: Convert to fraction form
    413,599.29/620,442.07 = 114,079.92/x
  3. Step 3: Cross multiply
    413,599.29x = 620,442.07 × 114,079.92
  4. Step 4: Simplify right side
    413,599.29x = 70,779,981,710.23
  5. Step 5: Solve for x
    x = 70,779,981,710.23/413,599.29
  6. Step 6: Final answer
    x = 171,131.78

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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.