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Finding the Fourth Proportional to 610,416.24, 842,359.32 and 338,485.20

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Solution

The fourth proportional to 610,416.24, 842,359.32 and 338,485.20 is: 467,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,416.24 : 842,359.32 = 338,485.20 : x
  2. Step 2: Convert to fraction form
    610,416.24/842,359.32 = 338,485.20/x
  3. Step 3: Cross multiply
    610,416.24x = 842,359.32 × 338,485.20
  4. Step 4: Simplify right side
    610,416.24x = 285,126,162,902.06
  5. Step 5: Solve for x
    x = 285,126,162,902.06/610,416.24
  6. Step 6: Final answer
    x = 467,101.21

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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.