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Finding the Fourth Proportional to 407,409.98, 562,295.34 and 235,297.01

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Solution

The fourth proportional to 407,409.98, 562,295.34 and 235,297.01 is: 324,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,409.98 : 562,295.34 = 235,297.01 : x
  2. Step 2: Convert to fraction form
    407,409.98/562,295.34 = 235,297.01/x
  3. Step 3: Cross multiply
    407,409.98x = 562,295.34 × 235,297.01
  4. Step 4: Simplify right side
    407,409.98x = 132,306,409,427.46
  5. Step 5: Solve for x
    x = 132,306,409,427.46/407,409.98
  6. Step 6: Final answer
    x = 324,750.05

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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.