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Finding the Fourth Proportional to 409,434.03, 614,151.03 and 159,941.07

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Solution

The fourth proportional to 409,434.03, 614,151.03 and 159,941.07 is: 239,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,434.03 : 614,151.03 = 159,941.07 : x
  2. Step 2: Convert to fraction form
    409,434.03/614,151.03 = 159,941.07/x
  3. Step 3: Cross multiply
    409,434.03x = 614,151.03 × 159,941.07
  4. Step 4: Simplify right side
    409,434.03x = 98,227,972,879.80
  5. Step 5: Solve for x
    x = 98,227,972,879.80/409,434.03
  6. Step 6: Final answer
    x = 239,911.60

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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.