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Finding the Fourth Proportional to 289,496.36, 433,602.94 and 222,442.92

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Solution

The fourth proportional to 289,496.36, 433,602.94 and 222,442.92 is: 333,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,496.36 : 433,602.94 = 222,442.92 : x
  2. Step 2: Convert to fraction form
    289,496.36/433,602.94 = 222,442.92/x
  3. Step 3: Cross multiply
    289,496.36x = 433,602.94 × 222,442.92
  4. Step 4: Simplify right side
    289,496.36x = 96,451,904,094.18
  5. Step 5: Solve for x
    x = 96,451,904,094.18/289,496.36
  6. Step 6: Final answer
    x = 333,171.39

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1.5x scale

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.