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Finding the Fourth Proportional to 463,109.36, 694,651.08 and 147,585.20

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Solution

The fourth proportional to 463,109.36, 694,651.08 and 147,585.20 is: 221,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,109.36 : 694,651.08 = 147,585.20 : x
  2. Step 2: Convert to fraction form
    463,109.36/694,651.08 = 147,585.20/x
  3. Step 3: Cross multiply
    463,109.36x = 694,651.08 × 147,585.20
  4. Step 4: Simplify right side
    463,109.36x = 102,520,218,572.02
  5. Step 5: Solve for x
    x = 102,520,218,572.02/463,109.36
  6. Step 6: Final answer
    x = 221,373.67

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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.