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Finding the Fourth Proportional to 367,037.06, 506,407.01 and 214,081.92

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Solution

The fourth proportional to 367,037.06, 506,407.01 and 214,081.92 is: 295,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,037.06 : 506,407.01 = 214,081.92 : x
  2. Step 2: Convert to fraction form
    367,037.06/506,407.01 = 214,081.92/x
  3. Step 3: Cross multiply
    367,037.06x = 506,407.01 × 214,081.92
  4. Step 4: Simplify right side
    367,037.06x = 108,412,583,931.85
  5. Step 5: Solve for x
    x = 108,412,583,931.85/367,037.06
  6. Step 6: Final answer
    x = 295,372.31

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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.