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Finding the Fourth Proportional to 509,657.72, 703,336.32 and 280,224.41

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Solution

The fourth proportional to 509,657.72, 703,336.32 and 280,224.41 is: 386,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,657.72 : 703,336.32 = 280,224.41 : x
  2. Step 2: Convert to fraction form
    509,657.72/703,336.32 = 280,224.41/x
  3. Step 3: Cross multiply
    509,657.72x = 703,336.32 × 280,224.41
  4. Step 4: Simplify right side
    509,657.72x = 197,092,001,786.89
  5. Step 5: Solve for x
    x = 197,092,001,786.89/509,657.72
  6. Step 6: Final answer
    x = 386,714.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.