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Finding the Fourth Proportional to 311,409.10, 429,744.55 and 168,169.14

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Solution

The fourth proportional to 311,409.10, 429,744.55 and 168,169.14 is: 232,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,409.10 : 429,744.55 = 168,169.14 : x
  2. Step 2: Convert to fraction form
    311,409.10/429,744.55 = 168,169.14/x
  3. Step 3: Cross multiply
    311,409.10x = 429,744.55 × 168,169.14
  4. Step 4: Simplify right side
    311,409.10x = 72,269,771,393.19
  5. Step 5: Solve for x
    x = 72,269,771,393.19/311,409.10
  6. Step 6: Final answer
    x = 232,073.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.