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Finding the Fourth Proportional to 409,891.70, 614,837.55 and 241,930.10

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Solution

The fourth proportional to 409,891.70, 614,837.55 and 241,930.10 is: 362,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,891.70 : 614,837.55 = 241,930.10 : x
  2. Step 2: Convert to fraction form
    409,891.70/614,837.55 = 241,930.10/x
  3. Step 3: Cross multiply
    409,891.70x = 614,837.55 × 241,930.10
  4. Step 4: Simplify right side
    409,891.70x = 148,747,709,955.26
  5. Step 5: Solve for x
    x = 148,747,709,955.26/409,891.70
  6. Step 6: Final answer
    x = 362,895.15

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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.