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Finding the Fourth Proportional to 290,146.54, 400,431 and 162,822.64

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Solution

The fourth proportional to 290,146.54, 400,431 and 162,822.64 is: 224,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,146.54 : 400,431 = 162,822.64 : x
  2. Step 2: Convert to fraction form
    290,146.54/400,431 = 162,822.64/x
  3. Step 3: Cross multiply
    290,146.54x = 400,431 × 162,822.64
  4. Step 4: Simplify right side
    290,146.54x = 65,199,232,557.84
  5. Step 5: Solve for x
    x = 65,199,232,557.84/290,146.54
  6. Step 6: Final answer
    x = 224,711.39

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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.