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Finding the Fourth Proportional to 315,420.32, 435,033.24 and 202,253.60

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Solution

The fourth proportional to 315,420.32, 435,033.24 and 202,253.60 is: 278,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,420.32 : 435,033.24 = 202,253.60 : x
  2. Step 2: Convert to fraction form
    315,420.32/435,033.24 = 202,253.60/x
  3. Step 3: Cross multiply
    315,420.32x = 435,033.24 × 202,253.60
  4. Step 4: Simplify right side
    315,420.32x = 87,987,038,909.66
  5. Step 5: Solve for x
    x = 87,987,038,909.66/315,420.32
  6. Step 6: Final answer
    x = 278,951.71

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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.