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Finding the Fourth Proportional to 552,114.20, 829,046.10 and 403,398.20

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Solution

The fourth proportional to 552,114.20, 829,046.10 and 403,398.20 is: 605,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,114.20 : 829,046.10 = 403,398.20 : x
  2. Step 2: Convert to fraction form
    552,114.20/829,046.10 = 403,398.20/x
  3. Step 3: Cross multiply
    552,114.20x = 829,046.10 × 403,398.20
  4. Step 4: Simplify right side
    552,114.20x = 334,435,704,457.02
  5. Step 5: Solve for x
    x = 334,435,704,457.02/552,114.20
  6. Step 6: Final answer
    x = 605,736.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.