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Finding the Fourth Proportional to 235,825.40, 353,507.70 and 210,942.20

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Solution

The fourth proportional to 235,825.40, 353,507.70 and 210,942.20 is: 316,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,825.40 : 353,507.70 = 210,942.20 : x
  2. Step 2: Convert to fraction form
    235,825.40/353,507.70 = 210,942.20/x
  3. Step 3: Cross multiply
    235,825.40x = 353,507.70 × 210,942.20
  4. Step 4: Simplify right side
    235,825.40x = 74,569,691,954.94
  5. Step 5: Solve for x
    x = 74,569,691,954.94/235,825.40
  6. Step 6: Final answer
    x = 316,207.21

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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.