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Finding the Fourth Proportional to 582,174.83, 803,401.13 and 324,046.22

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Solution

The fourth proportional to 582,174.83, 803,401.13 and 324,046.22 is: 447,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,174.83 : 803,401.13 = 324,046.22 : x
  2. Step 2: Convert to fraction form
    582,174.83/803,401.13 = 324,046.22/x
  3. Step 3: Cross multiply
    582,174.83x = 803,401.13 × 324,046.22
  4. Step 4: Simplify right side
    582,174.83x = 260,339,096,113.34
  5. Step 5: Solve for x
    x = 260,339,096,113.34/582,174.83
  6. Step 6: Final answer
    x = 447,183.70

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1.5x scale

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.