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Finding the Fourth Proportional to 400,794.40, 601,531.80 and 164,306.80

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Solution

The fourth proportional to 400,794.40, 601,531.80 and 164,306.80 is: 246,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,794.40 : 601,531.80 = 164,306.80 : x
  2. Step 2: Convert to fraction form
    400,794.40/601,531.80 = 164,306.80/x
  3. Step 3: Cross multiply
    400,794.40x = 601,531.80 × 164,306.80
  4. Step 4: Simplify right side
    400,794.40x = 98,835,765,156.24
  5. Step 5: Solve for x
    x = 98,835,765,156.24/400,794.40
  6. Step 6: Final answer
    x = 246,599.67

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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.