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Finding the Fourth Proportional to 472,623.44, 707,269.80 and 295,214

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Solution

The fourth proportional to 472,623.44, 707,269.80 and 295,214 is: 441,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,623.44 : 707,269.80 = 295,214 : x
  2. Step 2: Convert to fraction form
    472,623.44/707,269.80 = 295,214/x
  3. Step 3: Cross multiply
    472,623.44x = 707,269.80 × 295,214
  4. Step 4: Simplify right side
    472,623.44x = 208,795,946,737.20
  5. Step 5: Solve for x
    x = 208,795,946,737.20/472,623.44
  6. Step 6: Final answer
    x = 441,780.77

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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.