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Finding the Fourth Proportional to 414,090.58, 571,441.57 and 232,803.34

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Solution

The fourth proportional to 414,090.58, 571,441.57 and 232,803.34 is: 321,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,090.58 : 571,441.57 = 232,803.34 : x
  2. Step 2: Convert to fraction form
    414,090.58/571,441.57 = 232,803.34/x
  3. Step 3: Cross multiply
    414,090.58x = 571,441.57 × 232,803.34
  4. Step 4: Simplify right side
    414,090.58x = 133,033,506,110.84
  5. Step 5: Solve for x
    x = 133,033,506,110.84/414,090.58
  6. Step 6: Final answer
    x = 321,266.68

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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.