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Finding the Fourth Proportional to 516,202.24, 712,379.31 and 353,200.66

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Solution

The fourth proportional to 516,202.24, 712,379.31 and 353,200.66 is: 487,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,202.24 : 712,379.31 = 353,200.66 : x
  2. Step 2: Convert to fraction form
    516,202.24/712,379.31 = 353,200.66/x
  3. Step 3: Cross multiply
    516,202.24x = 712,379.31 × 353,200.66
  4. Step 4: Simplify right side
    516,202.24x = 251,612,842,462.35
  5. Step 5: Solve for x
    x = 251,612,842,462.35/516,202.24
  6. Step 6: Final answer
    x = 487,430.75

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