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Finding the Fourth Proportional to 271,584.80, 407,376.84 and 153,202.40

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Solution

The fourth proportional to 271,584.80, 407,376.84 and 153,202.40 is: 229,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,584.80 : 407,376.84 = 153,202.40 : x
  2. Step 2: Convert to fraction form
    271,584.80/407,376.84 = 153,202.40/x
  3. Step 3: Cross multiply
    271,584.80x = 407,376.84 × 153,202.40
  4. Step 4: Simplify right side
    271,584.80x = 62,411,109,592.42
  5. Step 5: Solve for x
    x = 62,411,109,592.42/271,584.80
  6. Step 6: Final answer
    x = 229,803.40

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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.