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Finding the Fourth Proportional to 271,902.30, 407,455.05 and 243,822.30

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Solution

The fourth proportional to 271,902.30, 407,455.05 and 243,822.30 is: 365,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,902.30 : 407,455.05 = 243,822.30 : x
  2. Step 2: Convert to fraction form
    271,902.30/407,455.05 = 243,822.30/x
  3. Step 3: Cross multiply
    271,902.30x = 407,455.05 × 243,822.30
  4. Step 4: Simplify right side
    271,902.30x = 99,346,627,437.62
  5. Step 5: Solve for x
    x = 99,346,627,437.62/271,902.30
  6. Step 6: Final answer
    x = 365,376.19

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1.5x scale

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.