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Finding the Fourth Proportional to 506,023.50, 758,376.72 and 206,152.86

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Solution

The fourth proportional to 506,023.50, 758,376.72 and 206,152.86 is: 308,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,023.50 : 758,376.72 = 206,152.86 : x
  2. Step 2: Convert to fraction form
    506,023.50/758,376.72 = 206,152.86/x
  3. Step 3: Cross multiply
    506,023.50x = 758,376.72 × 206,152.86
  4. Step 4: Simplify right side
    506,023.50x = 156,341,529,785.42
  5. Step 5: Solve for x
    x = 156,341,529,785.42/506,023.50
  6. Step 6: Final answer
    x = 308,961.01

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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.