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Finding the Fourth Proportional to 582,176.34, 803,403.20 and 324,047.72

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Solution

The fourth proportional to 582,176.34, 803,403.20 and 324,047.72 is: 447,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,176.34 : 803,403.20 = 324,047.72 : x
  2. Step 2: Convert to fraction form
    582,176.34/803,403.20 = 324,047.72/x
  3. Step 3: Cross multiply
    582,176.34x = 803,403.20 × 324,047.72
  4. Step 4: Simplify right side
    582,176.34x = 260,340,969,563.45
  5. Step 5: Solve for x
    x = 260,340,969,563.45/582,176.34
  6. Step 6: Final answer
    x = 447,185.76

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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.