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Finding the Fourth Proportional to 414,504.40, 572,016.04 and 235,656.40

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Solution

The fourth proportional to 414,504.40, 572,016.04 and 235,656.40 is: 325,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,504.40 : 572,016.04 = 235,656.40 : x
  2. Step 2: Convert to fraction form
    414,504.40/572,016.04 = 235,656.40/x
  3. Step 3: Cross multiply
    414,504.40x = 572,016.04 × 235,656.40
  4. Step 4: Simplify right side
    414,504.40x = 134,799,240,728.66
  5. Step 5: Solve for x
    x = 134,799,240,728.66/414,504.40
  6. Step 6: Final answer
    x = 325,205.81

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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.