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Finding the Fourth Proportional to 407,410.47, 562,296.03 and 235,297.50

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Solution

The fourth proportional to 407,410.47, 562,296.03 and 235,297.50 is: 324,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,410.47 : 562,296.03 = 235,297.50 : x
  2. Step 2: Convert to fraction form
    407,410.47/562,296.03 = 235,297.50/x
  3. Step 3: Cross multiply
    407,410.47x = 562,296.03 × 235,297.50
  4. Step 4: Simplify right side
    407,410.47x = 132,306,850,118.93
  5. Step 5: Solve for x
    x = 132,306,850,118.93/407,410.47
  6. Step 6: Final answer
    x = 324,750.74

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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.