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Finding the Fourth Proportional to 410,314.14, 566,328 and 240,602.94

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Solution

The fourth proportional to 410,314.14, 566,328 and 240,602.94 is: 332,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,314.14 : 566,328 = 240,602.94 : x
  2. Step 2: Convert to fraction form
    410,314.14/566,328 = 240,602.94/x
  3. Step 3: Cross multiply
    410,314.14x = 566,328 × 240,602.94
  4. Step 4: Simplify right side
    410,314.14x = 136,260,181,804.32
  5. Step 5: Solve for x
    x = 136,260,181,804.32/410,314.14
  6. Step 6: Final answer
    x = 332,087.46

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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.