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Finding the Fourth Proportional to 552,158.20, 829,112.10 and 403,442.20

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Solution

The fourth proportional to 552,158.20, 829,112.10 and 403,442.20 is: 605,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,158.20 : 829,112.10 = 403,442.20 : x
  2. Step 2: Convert to fraction form
    552,158.20/829,112.10 = 403,442.20/x
  3. Step 3: Cross multiply
    552,158.20x = 829,112.10 × 403,442.20
  4. Step 4: Simplify right side
    552,158.20x = 334,498,809,670.62
  5. Step 5: Solve for x
    x = 334,498,809,670.62/552,158.20
  6. Step 6: Final answer
    x = 605,802.48

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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.