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Finding the Fourth Proportional to 397,546.30, 597,010.65 and 210,922.30

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Solution

The fourth proportional to 397,546.30, 597,010.65 and 210,922.30 is: 316,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,546.30 : 597,010.65 = 210,922.30 : x
  2. Step 2: Convert to fraction form
    397,546.30/597,010.65 = 210,922.30/x
  3. Step 3: Cross multiply
    397,546.30x = 597,010.65 × 210,922.30
  4. Step 4: Simplify right side
    397,546.30x = 125,922,859,422.50
  5. Step 5: Solve for x
    x = 125,922,859,422.50/397,546.30
  6. Step 6: Final answer
    x = 316,750.17

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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.