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Finding the Fourth Proportional to 506,192.34, 759,000.96 and 206,321.70

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Solution

The fourth proportional to 506,192.34, 759,000.96 and 206,321.70 is: 309,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,192.34 : 759,000.96 = 206,321.70 : x
  2. Step 2: Convert to fraction form
    506,192.34/759,000.96 = 206,321.70/x
  3. Step 3: Cross multiply
    506,192.34x = 759,000.96 × 206,321.70
  4. Step 4: Simplify right side
    506,192.34x = 156,598,368,368.83
  5. Step 5: Solve for x
    x = 156,598,368,368.83/506,192.34
  6. Step 6: Final answer
    x = 309,365.35

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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.