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Finding the Fourth Proportional to 217,814.40, 326,721.60 and 180,950.40

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Solution

The fourth proportional to 217,814.40, 326,721.60 and 180,950.40 is: 271,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,814.40 : 326,721.60 = 180,950.40 : x
  2. Step 2: Convert to fraction form
    217,814.40/326,721.60 = 180,950.40/x
  3. Step 3: Cross multiply
    217,814.40x = 326,721.60 × 180,950.40
  4. Step 4: Simplify right side
    217,814.40x = 59,120,404,208.64
  5. Step 5: Solve for x
    x = 59,120,404,208.64/217,814.40
  6. Step 6: Final answer
    x = 271,425.60

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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.