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Finding the Fourth Proportional to 709,202.50, 978,565.80 and 422,749.24

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Solution

The fourth proportional to 709,202.50, 978,565.80 and 422,749.24 is: 583,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,202.50 : 978,565.80 = 422,749.24 : x
  2. Step 2: Convert to fraction form
    709,202.50/978,565.80 = 422,749.24/x
  3. Step 3: Cross multiply
    709,202.50x = 978,565.80 × 422,749.24
  4. Step 4: Simplify right side
    709,202.50x = 413,687,948,239.99
  5. Step 5: Solve for x
    x = 413,687,948,239.99/709,202.50
  6. Step 6: Final answer
    x = 583,314.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.