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Finding the Fourth Proportional to 506,294.70, 759,529.53 and 206,938.14

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Solution

The fourth proportional to 506,294.70, 759,529.53 and 206,938.14 is: 310,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,294.70 : 759,529.53 = 206,938.14 : x
  2. Step 2: Convert to fraction form
    506,294.70/759,529.53 = 206,938.14/x
  3. Step 3: Cross multiply
    506,294.70x = 759,529.53 × 206,938.14
  4. Step 4: Simplify right side
    506,294.70x = 157,175,628,213.27
  5. Step 5: Solve for x
    x = 157,175,628,213.27/506,294.70
  6. Step 6: Final answer
    x = 310,442.97

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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.