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Finding the Fourth Proportional to 217,431.90, 325,840.65 and 160,830.30

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Solution

The fourth proportional to 217,431.90, 325,840.65 and 160,830.30 is: 241,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,431.90 : 325,840.65 = 160,830.30 : x
  2. Step 2: Convert to fraction form
    217,431.90/325,840.65 = 160,830.30/x
  3. Step 3: Cross multiply
    217,431.90x = 325,840.65 × 160,830.30
  4. Step 4: Simplify right side
    217,431.90x = 52,405,049,491.70
  5. Step 5: Solve for x
    x = 52,405,049,491.70/217,431.90
  6. Step 6: Final answer
    x = 241,018.22

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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.