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Finding the Fourth Proportional to 499,510.86, 689,392.43 and 281,764.23

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Solution

The fourth proportional to 499,510.86, 689,392.43 and 281,764.23 is: 388,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,510.86 : 689,392.43 = 281,764.23 : x
  2. Step 2: Convert to fraction form
    499,510.86/689,392.43 = 281,764.23/x
  3. Step 3: Cross multiply
    499,510.86x = 689,392.43 × 281,764.23
  4. Step 4: Simplify right side
    499,510.86x = 194,246,127,206.78
  5. Step 5: Solve for x
    x = 194,246,127,206.78/499,510.86
  6. Step 6: Final answer
    x = 388,872.68

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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.