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Finding the Fourth Proportional to 748,938, 1,033,538.13 and 409,406.25

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Solution

The fourth proportional to 748,938, 1,033,538.13 and 409,406.25 is: 564,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,938 : 1,033,538.13 = 409,406.25 : x
  2. Step 2: Convert to fraction form
    748,938/1,033,538.13 = 409,406.25/x
  3. Step 3: Cross multiply
    748,938x = 1,033,538.13 × 409,406.25
  4. Step 4: Simplify right side
    748,938x = 423,136,970,035.31
  5. Step 5: Solve for x
    x = 423,136,970,035.31/748,938
  6. Step 6: Final answer
    x = 564,982.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.