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Finding the Fourth Proportional to 748,840.22, 1,033,400.02 and 409,308.46

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Solution

The fourth proportional to 748,840.22, 1,033,400.02 and 409,308.46 is: 564,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,840.22 : 1,033,400.02 = 409,308.46 : x
  2. Step 2: Convert to fraction form
    748,840.22/1,033,400.02 = 409,308.46/x
  3. Step 3: Cross multiply
    748,840.22x = 1,033,400.02 × 409,308.46
  4. Step 4: Simplify right side
    748,840.22x = 422,979,370,750.17
  5. Step 5: Solve for x
    x = 422,979,370,750.17/748,840.22
  6. Step 6: Final answer
    x = 564,845.96

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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.