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Finding the Fourth Proportional to 409,935.36, 614,638.08 and 160,642.56

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Solution

The fourth proportional to 409,935.36, 614,638.08 and 160,642.56 is: 240,860.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,935.36 : 614,638.08 = 160,642.56 : x
  2. Step 2: Convert to fraction form
    409,935.36/614,638.08 = 160,642.56/x
  3. Step 3: Cross multiply
    409,935.36x = 614,638.08 × 160,642.56
  4. Step 4: Simplify right side
    409,935.36x = 98,737,034,644.68
  5. Step 5: Solve for x
    x = 98,737,034,644.68/409,935.36
  6. Step 6: Final answer
    x = 240,860.01

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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.