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Finding the Fourth Proportional to 582,107.36, 803,334.56 and 324,000.78

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Solution

The fourth proportional to 582,107.36, 803,334.56 and 324,000.78 is: 447,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,107.36 : 803,334.56 = 324,000.78 : x
  2. Step 2: Convert to fraction form
    582,107.36/803,334.56 = 324,000.78/x
  3. Step 3: Cross multiply
    582,107.36x = 803,334.56 × 324,000.78
  4. Step 4: Simplify right side
    582,107.36x = 260,281,024,040.96
  5. Step 5: Solve for x
    x = 260,281,024,040.96/582,107.36
  6. Step 6: Final answer
    x = 447,135.77

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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.