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Finding the Fourth Proportional to 472,362.72, 708,282.96 and 187,764.96

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Solution

The fourth proportional to 472,362.72, 708,282.96 and 187,764.96 is: 281,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,362.72 : 708,282.96 = 187,764.96 : x
  2. Step 2: Convert to fraction form
    472,362.72/708,282.96 = 187,764.96/x
  3. Step 3: Cross multiply
    472,362.72x = 708,282.96 × 187,764.96
  4. Step 4: Simplify right side
    472,362.72x = 132,990,721,653.08
  5. Step 5: Solve for x
    x = 132,990,721,653.08/472,362.72
  6. Step 6: Final answer
    x = 281,543.64

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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.