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Finding the Fourth Proportional to 463,235.40, 694,853.10 and 163,713.60

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Solution

The fourth proportional to 463,235.40, 694,853.10 and 163,713.60 is: 245,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,235.40 : 694,853.10 = 163,713.60 : x
  2. Step 2: Convert to fraction form
    463,235.40/694,853.10 = 163,713.60/x
  3. Step 3: Cross multiply
    463,235.40x = 694,853.10 × 163,713.60
  4. Step 4: Simplify right side
    463,235.40x = 113,756,902,472.16
  5. Step 5: Solve for x
    x = 113,756,902,472.16/463,235.40
  6. Step 6: Final answer
    x = 245,570.40

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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.