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Finding the Fourth Proportional to 366,733.16, 506,024.84 and 211,627.86

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Solution

The fourth proportional to 366,733.16, 506,024.84 and 211,627.86 is: 292,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,733.16 : 506,024.84 = 211,627.86 : x
  2. Step 2: Convert to fraction form
    366,733.16/506,024.84 = 211,627.86/x
  3. Step 3: Cross multiply
    366,733.16x = 506,024.84 × 211,627.86
  4. Step 4: Simplify right side
    366,733.16x = 107,088,954,652.50
  5. Step 5: Solve for x
    x = 107,088,954,652.50/366,733.16
  6. Step 6: Final answer
    x = 292,007.83

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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.