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Finding the Fourth Proportional to 271,409.20, 407,502.60 and 153,311.20

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Solution

The fourth proportional to 271,409.20, 407,502.60 and 153,311.20 is: 230,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,409.20 : 407,502.60 = 153,311.20 : x
  2. Step 2: Convert to fraction form
    271,409.20/407,502.60 = 153,311.20/x
  3. Step 3: Cross multiply
    271,409.20x = 407,502.60 × 153,311.20
  4. Step 4: Simplify right side
    271,409.20x = 62,474,712,609.12
  5. Step 5: Solve for x
    x = 62,474,712,609.12/271,409.20
  6. Step 6: Final answer
    x = 230,186.42

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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.