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Finding the Fourth Proportional to 271,699.80, 407,549.70 and 177,221.40

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Solution

The fourth proportional to 271,699.80, 407,549.70 and 177,221.40 is: 265,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,699.80 : 407,549.70 = 177,221.40 : x
  2. Step 2: Convert to fraction form
    271,699.80/407,549.70 = 177,221.40/x
  3. Step 3: Cross multiply
    271,699.80x = 407,549.70 × 177,221.40
  4. Step 4: Simplify right side
    271,699.80x = 72,226,528,403.58
  5. Step 5: Solve for x
    x = 72,226,528,403.58/271,699.80
  6. Step 6: Final answer
    x = 265,832.10

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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.