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Finding the Fourth Proportional to 413,610.20, 577,873.30 and 413,610.20

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Solution

The fourth proportional to 413,610.20, 577,873.30 and 413,610.20 is: 577,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,610.20 : 577,873.30 = 413,610.20 : x
  2. Step 2: Convert to fraction form
    413,610.20/577,873.30 = 413,610.20/x
  3. Step 3: Cross multiply
    413,610.20x = 577,873.30 × 413,610.20
  4. Step 4: Simplify right side
    413,610.20x = 239,014,291,187.66
  5. Step 5: Solve for x
    x = 239,014,291,187.66/413,610.20
  6. Step 6: Final answer
    x = 577,873.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.