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Finding the Fourth Proportional to 748,584, 1,033,048.58 and 409,052.24

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Solution

The fourth proportional to 748,584, 1,033,048.58 and 409,052.24 is: 564,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,584 : 1,033,048.58 = 409,052.24 : x
  2. Step 2: Convert to fraction form
    748,584/1,033,048.58 = 409,052.24/x
  3. Step 3: Cross multiply
    748,584x = 1,033,048.58 × 409,052.24
  4. Step 4: Simplify right side
    748,584x = 422,570,835,677.82
  5. Step 5: Solve for x
    x = 422,570,835,677.82/748,584
  6. Step 6: Final answer
    x = 564,493.54

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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.