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Finding the Fourth Proportional to 506,269.40, 759,404.84 and 206,749.98

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Solution

The fourth proportional to 506,269.40, 759,404.84 and 206,749.98 is: 310,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,269.40 : 759,404.84 = 206,749.98 : x
  2. Step 2: Convert to fraction form
    506,269.40/759,404.84 = 206,749.98/x
  3. Step 3: Cross multiply
    506,269.40x = 759,404.84 × 206,749.98
  4. Step 4: Simplify right side
    506,269.40x = 157,006,934,448.15
  5. Step 5: Solve for x
    x = 157,006,934,448.15/506,269.40
  6. Step 6: Final answer
    x = 310,125.27

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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.