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Finding the Fourth Proportional to 464,141.40, 696,221.82 and 148,597.39

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Solution

The fourth proportional to 464,141.40, 696,221.82 and 148,597.39 is: 222,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,141.40 : 696,221.82 = 148,597.39 : x
  2. Step 2: Convert to fraction form
    464,141.40/696,221.82 = 148,597.39/x
  3. Step 3: Cross multiply
    464,141.40x = 696,221.82 × 148,597.39
  4. Step 4: Simplify right side
    464,141.40x = 103,456,745,313.05
  5. Step 5: Solve for x
    x = 103,456,745,313.05/464,141.40
  6. Step 6: Final answer
    x = 222,899.20

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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.