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Finding the Fourth Proportional to 748,672.23, 1,033,168.11 and 409,140.48

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Solution

The fourth proportional to 748,672.23, 1,033,168.11 and 409,140.48 is: 564,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,672.23 : 1,033,168.11 = 409,140.48 : x
  2. Step 2: Convert to fraction form
    748,672.23/1,033,168.11 = 409,140.48/x
  3. Step 3: Cross multiply
    748,672.23x = 1,033,168.11 × 409,140.48
  4. Step 4: Simplify right side
    748,672.23x = 422,710,896,446.09
  5. Step 5: Solve for x
    x = 422,710,896,446.09/748,672.23
  6. Step 6: Final answer
    x = 564,614.10

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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.