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Finding the Fourth Proportional to 466,344.16, 699,323.12 and 146,389.12

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Solution

The fourth proportional to 466,344.16, 699,323.12 and 146,389.12 is: 219,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,344.16 : 699,323.12 = 146,389.12 : x
  2. Step 2: Convert to fraction form
    466,344.16/699,323.12 = 146,389.12/x
  3. Step 3: Cross multiply
    466,344.16x = 699,323.12 × 146,389.12
  4. Step 4: Simplify right side
    466,344.16x = 102,373,296,132.45
  5. Step 5: Solve for x
    x = 102,373,296,132.45/466,344.16
  6. Step 6: Final answer
    x = 219,523.06

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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.