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Finding the Fourth Proportional to 403,825.32, 605,352.24 and 151,037.28

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Solution

The fourth proportional to 403,825.32, 605,352.24 and 151,037.28 is: 226,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,825.32 : 605,352.24 = 151,037.28 : x
  2. Step 2: Convert to fraction form
    403,825.32/605,352.24 = 151,037.28/x
  3. Step 3: Cross multiply
    403,825.32x = 605,352.24 × 151,037.28
  4. Step 4: Simplify right side
    403,825.32x = 91,430,755,771.51
  5. Step 5: Solve for x
    x = 91,430,755,771.51/403,825.32
  6. Step 6: Final answer
    x = 226,411.65

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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.