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Finding the Fourth Proportional to 548,048.86, 822,818.76 and 308,331.46

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Solution

The fourth proportional to 548,048.86, 822,818.76 and 308,331.46 is: 462,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,048.86 : 822,818.76 = 308,331.46 : x
  2. Step 2: Convert to fraction form
    548,048.86/822,818.76 = 308,331.46/x
  3. Step 3: Cross multiply
    548,048.86x = 822,818.76 × 308,331.46
  4. Step 4: Simplify right side
    548,048.86x = 253,700,909,586.19
  5. Step 5: Solve for x
    x = 253,700,909,586.19/548,048.86
  6. Step 6: Final answer
    x = 462,916.59

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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.