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Finding the Fourth Proportional to 582,345.28, 803,571.36 and 327,784

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Solution

The fourth proportional to 582,345.28, 803,571.36 and 327,784 is: 452,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,345.28 : 803,571.36 = 327,784 : x
  2. Step 2: Convert to fraction form
    582,345.28/803,571.36 = 327,784/x
  3. Step 3: Cross multiply
    582,345.28x = 803,571.36 × 327,784
  4. Step 4: Simplify right side
    582,345.28x = 263,397,834,666.24
  5. Step 5: Solve for x
    x = 263,397,834,666.24/582,345.28
  6. Step 6: Final answer
    x = 452,305.26

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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.