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Finding the Fourth Proportional to 400,510.49, 600,764.09 and 163,853.01

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Solution

The fourth proportional to 400,510.49, 600,764.09 and 163,853.01 is: 245,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,510.49 : 600,764.09 = 163,853.01 : x
  2. Step 2: Convert to fraction form
    400,510.49/600,764.09 = 163,853.01/x
  3. Step 3: Cross multiply
    400,510.49x = 600,764.09 × 163,853.01
  4. Step 4: Simplify right side
    400,510.49x = 98,437,003,627.15
  5. Step 5: Solve for x
    x = 98,437,003,627.15/400,510.49
  6. Step 6: Final answer
    x = 245,778.84

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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.