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Finding the Fourth Proportional to 506,194.34, 759,003.96 and 206,323.70

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Solution

The fourth proportional to 506,194.34, 759,003.96 and 206,323.70 is: 309,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,194.34 : 759,003.96 = 206,323.70 : x
  2. Step 2: Convert to fraction form
    506,194.34/759,003.96 = 206,323.70/x
  3. Step 3: Cross multiply
    506,194.34x = 759,003.96 × 206,323.70
  4. Step 4: Simplify right side
    506,194.34x = 156,600,505,341.85
  5. Step 5: Solve for x
    x = 156,600,505,341.85/506,194.34
  6. Step 6: Final answer
    x = 309,368.35

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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.