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Finding the Fourth Proportional to 397,344.30, 596,016.45 and 354,041.70

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Solution

The fourth proportional to 397,344.30, 596,016.45 and 354,041.70 is: 531,062.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,344.30 : 596,016.45 = 354,041.70 : x
  2. Step 2: Convert to fraction form
    397,344.30/596,016.45 = 354,041.70/x
  3. Step 3: Cross multiply
    397,344.30x = 596,016.45 × 354,041.70
  4. Step 4: Simplify right side
    397,344.30x = 211,014,677,185.97
  5. Step 5: Solve for x
    x = 211,014,677,185.97/397,344.30
  6. Step 6: Final answer
    x = 531,062.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.