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Finding the Fourth Proportional to 407,410.98, 562,296.72 and 235,298.01

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Solution

The fourth proportional to 407,410.98, 562,296.72 and 235,298.01 is: 324,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,410.98 : 562,296.72 = 235,298.01 : x
  2. Step 2: Convert to fraction form
    407,410.98/562,296.72 = 235,298.01/x
  3. Step 3: Cross multiply
    407,410.98x = 562,296.72 × 235,298.01
  4. Step 4: Simplify right side
    407,410.98x = 132,307,299,245.53
  5. Step 5: Solve for x
    x = 132,307,299,245.53/407,410.98
  6. Step 6: Final answer
    x = 324,751.43

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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.