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Finding the Fourth Proportional to 442,681.44, 610,899.12 and 241,476

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Solution

The fourth proportional to 442,681.44, 610,899.12 and 241,476 is: 333,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,681.44 : 610,899.12 = 241,476 : x
  2. Step 2: Convert to fraction form
    442,681.44/610,899.12 = 241,476/x
  3. Step 3: Cross multiply
    442,681.44x = 610,899.12 × 241,476
  4. Step 4: Simplify right side
    442,681.44x = 147,517,475,901.12
  5. Step 5: Solve for x
    x = 147,517,475,901.12/442,681.44
  6. Step 6: Final answer
    x = 333,236.19

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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.