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Finding the Fourth Proportional to 473,005.54, 708,892.23 and 192,194.50

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Solution

The fourth proportional to 473,005.54, 708,892.23 and 192,194.50 is: 288,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,005.54 : 708,892.23 = 192,194.50 : x
  2. Step 2: Convert to fraction form
    473,005.54/708,892.23 = 192,194.50/x
  3. Step 3: Cross multiply
    473,005.54x = 708,892.23 × 192,194.50
  4. Step 4: Simplify right side
    473,005.54x = 136,245,187,698.74
  5. Step 5: Solve for x
    x = 136,245,187,698.74/473,005.54
  6. Step 6: Final answer
    x = 288,041.42

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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.