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Finding the Fourth Proportional to 473,976.24, 710,493.48 and 193,694.64

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Solution

The fourth proportional to 473,976.24, 710,493.48 and 193,694.64 is: 290,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,976.24 : 710,493.48 = 193,694.64 : x
  2. Step 2: Convert to fraction form
    473,976.24/710,493.48 = 193,694.64/x
  3. Step 3: Cross multiply
    473,976.24x = 710,493.48 × 193,694.64
  4. Step 4: Simplify right side
    473,976.24x = 137,618,778,830.95
  5. Step 5: Solve for x
    x = 137,618,778,830.95/473,976.24
  6. Step 6: Final answer
    x = 290,349.53

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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.