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Finding the Fourth Proportional to 367,085.56, 506,578.26 and 214,228.84

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Solution

The fourth proportional to 367,085.56, 506,578.26 and 214,228.84 is: 295,635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,085.56 : 506,578.26 = 214,228.84 : x
  2. Step 2: Convert to fraction form
    367,085.56/506,578.26 = 214,228.84/x
  3. Step 3: Cross multiply
    367,085.56x = 506,578.26 × 214,228.84
  4. Step 4: Simplify right side
    367,085.56x = 108,523,673,009.02
  5. Step 5: Solve for x
    x = 108,523,673,009.02/367,085.56
  6. Step 6: Final answer
    x = 295,635.91

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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.