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Finding the Fourth Proportional to 235,484.40, 325,824.21 and 205,332.60

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Solution

The fourth proportional to 235,484.40, 325,824.21 and 205,332.60 is: 284,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,484.40 : 325,824.21 = 205,332.60 : x
  2. Step 2: Convert to fraction form
    235,484.40/325,824.21 = 205,332.60/x
  3. Step 3: Cross multiply
    235,484.40x = 325,824.21 × 205,332.60
  4. Step 4: Simplify right side
    235,484.40x = 66,902,332,182.25
  5. Step 5: Solve for x
    x = 66,902,332,182.25/235,484.40
  6. Step 6: Final answer
    x = 284,105.16

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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.