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Finding the Fourth Proportional to 395,847, 546,303.42 and 217,033.56

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Solution

The fourth proportional to 395,847, 546,303.42 and 217,033.56 is: 299,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,847 : 546,303.42 = 217,033.56 : x
  2. Step 2: Convert to fraction form
    395,847/546,303.42 = 217,033.56/x
  3. Step 3: Cross multiply
    395,847x = 546,303.42 × 217,033.56
  4. Step 4: Simplify right side
    395,847x = 118,566,176,082.78
  5. Step 5: Solve for x
    x = 118,566,176,082.78/395,847
  6. Step 6: Final answer
    x = 299,525.26

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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.