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Finding the Fourth Proportional to 463,421.62, 695,164.02 and 147,902.32

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Solution

The fourth proportional to 463,421.62, 695,164.02 and 147,902.32 is: 221,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,421.62 : 695,164.02 = 147,902.32 : x
  2. Step 2: Convert to fraction form
    463,421.62/695,164.02 = 147,902.32/x
  3. Step 3: Cross multiply
    463,421.62x = 695,164.02 × 147,902.32
  4. Step 4: Simplify right side
    463,421.62x = 102,816,371,338.53
  5. Step 5: Solve for x
    x = 102,816,371,338.53/463,421.62
  6. Step 6: Final answer
    x = 221,863.56

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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.