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Finding the Fourth Proportional to 404,201.60, 557,905.74 and 238,774.46

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Solution

The fourth proportional to 404,201.60, 557,905.74 and 238,774.46 is: 329,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,201.60 : 557,905.74 = 238,774.46 : x
  2. Step 2: Convert to fraction form
    404,201.60/557,905.74 = 238,774.46/x
  3. Step 3: Cross multiply
    404,201.60x = 557,905.74 × 238,774.46
  4. Step 4: Simplify right side
    404,201.60x = 133,213,641,799.40
  5. Step 5: Solve for x
    x = 133,213,641,799.40/404,201.60
  6. Step 6: Final answer
    x = 329,572.28

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1.5x scale

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.