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Finding the Fourth Proportional to 473,668.22, 711,007.91 and 203,929.85

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Solution

The fourth proportional to 473,668.22, 711,007.91 and 203,929.85 is: 306,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,668.22 : 711,007.91 = 203,929.85 : x
  2. Step 2: Convert to fraction form
    473,668.22/711,007.91 = 203,929.85/x
  3. Step 3: Cross multiply
    473,668.22x = 711,007.91 × 203,929.85
  4. Step 4: Simplify right side
    473,668.22x = 144,995,737,957.72
  5. Step 5: Solve for x
    x = 144,995,737,957.72/473,668.22
  6. Step 6: Final answer
    x = 306,112.45

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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.