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Finding the Fourth Proportional to 548,812.16, 823,316.16 and 194,032.16

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Solution

The fourth proportional to 548,812.16, 823,316.16 and 194,032.16 is: 291,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,812.16 : 823,316.16 = 194,032.16 : x
  2. Step 2: Convert to fraction form
    548,812.16/823,316.16 = 194,032.16/x
  3. Step 3: Cross multiply
    548,812.16x = 823,316.16 × 194,032.16
  4. Step 4: Simplify right side
    548,812.16x = 159,749,812,887.71
  5. Step 5: Solve for x
    x = 159,749,812,887.71/548,812.16
  6. Step 6: Final answer
    x = 291,082.86

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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.