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Finding the Fourth Proportional to 409,436.03, 614,154.03 and 159,943.07

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Solution

The fourth proportional to 409,436.03, 614,154.03 and 159,943.07 is: 239,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,436.03 : 614,154.03 = 159,943.07 : x
  2. Step 2: Convert to fraction form
    409,436.03/614,154.03 = 159,943.07/x
  3. Step 3: Cross multiply
    409,436.03x = 614,154.03 × 159,943.07
  4. Step 4: Simplify right side
    409,436.03x = 98,229,681,011.07
  5. Step 5: Solve for x
    x = 98,229,681,011.07/409,436.03
  6. Step 6: Final answer
    x = 239,914.60

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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.