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Finding the Fourth Proportional to 748,669.23, 1,033,164 and 409,137.48

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Solution

The fourth proportional to 748,669.23, 1,033,164 and 409,137.48 is: 564,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,669.23 : 1,033,164 = 409,137.48 : x
  2. Step 2: Convert to fraction form
    748,669.23/1,033,164 = 409,137.48/x
  3. Step 3: Cross multiply
    748,669.23x = 1,033,164 × 409,137.48
  4. Step 4: Simplify right side
    748,669.23x = 422,706,115,386.72
  5. Step 5: Solve for x
    x = 422,706,115,386.72/748,669.23
  6. Step 6: Final answer
    x = 564,609.98

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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.