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Finding the Fourth Proportional to 413,386.17, 620,079.01 and 129,101.05

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Solution

The fourth proportional to 413,386.17, 620,079.01 and 129,101.05 is: 193,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,386.17 : 620,079.01 = 129,101.05 : x
  2. Step 2: Convert to fraction form
    413,386.17/620,079.01 = 129,101.05/x
  3. Step 3: Cross multiply
    413,386.17x = 620,079.01 × 129,101.05
  4. Step 4: Simplify right side
    413,386.17x = 80,052,851,726.31
  5. Step 5: Solve for x
    x = 80,052,851,726.31/413,386.17
  6. Step 6: Final answer
    x = 193,651.50

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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.