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Finding the Fourth Proportional to 548,814.16, 823,319.16 and 194,034.16

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Solution

The fourth proportional to 548,814.16, 823,319.16 and 194,034.16 is: 291,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,814.16 : 823,319.16 = 194,034.16 : x
  2. Step 2: Convert to fraction form
    548,814.16/823,319.16 = 194,034.16/x
  3. Step 3: Cross multiply
    548,814.16x = 823,319.16 × 194,034.16
  4. Step 4: Simplify right side
    548,814.16x = 159,752,041,622.51
  5. Step 5: Solve for x
    x = 159,752,041,622.51/548,814.16
  6. Step 6: Final answer
    x = 291,085.86

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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.