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Finding the Fourth Proportional to 506,084.16, 758,533.44 and 206,377.60

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Solution

The fourth proportional to 506,084.16, 758,533.44 and 206,377.60 is: 309,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,084.16 : 758,533.44 = 206,377.60 : x
  2. Step 2: Convert to fraction form
    506,084.16/758,533.44 = 206,377.60/x
  3. Step 3: Cross multiply
    506,084.16x = 758,533.44 × 206,377.60
  4. Step 4: Simplify right side
    506,084.16x = 156,544,310,866.94
  5. Step 5: Solve for x
    x = 156,544,310,866.94/506,084.16
  6. Step 6: Final answer
    x = 309,324.66

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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.