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Finding the Fourth Proportional to 419,034.98, 578,280.38 and 228,060.47

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Solution

The fourth proportional to 419,034.98, 578,280.38 and 228,060.47 is: 314,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,034.98 : 578,280.38 = 228,060.47 : x
  2. Step 2: Convert to fraction form
    419,034.98/578,280.38 = 228,060.47/x
  3. Step 3: Cross multiply
    419,034.98x = 578,280.38 × 228,060.47
  4. Step 4: Simplify right side
    419,034.98x = 131,882,891,222.87
  5. Step 5: Solve for x
    x = 131,882,891,222.87/419,034.98
  6. Step 6: Final answer
    x = 314,730.03

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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.