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Finding the Fourth Proportional to 748,804.64, 1,033,335.16 and 409,275.32

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Solution

The fourth proportional to 748,804.64, 1,033,335.16 and 409,275.32 is: 564,791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,804.64 : 1,033,335.16 = 409,275.32 : x
  2. Step 2: Convert to fraction form
    748,804.64/1,033,335.16 = 409,275.32/x
  3. Step 3: Cross multiply
    748,804.64x = 1,033,335.16 × 409,275.32
  4. Step 4: Simplify right side
    748,804.64x = 422,918,578,276.25
  5. Step 5: Solve for x
    x = 422,918,578,276.25/748,804.64
  6. Step 6: Final answer
    x = 564,791.61

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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.