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Finding the Fourth Proportional to 422,499.32, 583,125.60 and 269,585

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Solution

The fourth proportional to 422,499.32, 583,125.60 and 269,585 is: 372,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,499.32 : 583,125.60 = 269,585 : x
  2. Step 2: Convert to fraction form
    422,499.32/583,125.60 = 269,585/x
  3. Step 3: Cross multiply
    422,499.32x = 583,125.60 × 269,585
  4. Step 4: Simplify right side
    422,499.32x = 157,201,914,876
  5. Step 5: Solve for x
    x = 157,201,914,876/422,499.32
  6. Step 6: Final answer
    x = 372,076.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.