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Finding the Fourth Proportional to 582,376.49, 803,677.91 and 327,727.68

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Solution

The fourth proportional to 582,376.49, 803,677.91 and 327,727.68 is: 452,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,376.49 : 803,677.91 = 327,727.68 : x
  2. Step 2: Convert to fraction form
    582,376.49/803,677.91 = 327,727.68/x
  3. Step 3: Cross multiply
    582,376.49x = 803,677.91 × 327,727.68
  4. Step 4: Simplify right side
    582,376.49x = 263,387,496,911.55
  5. Step 5: Solve for x
    x = 263,387,496,911.55/582,376.49
  6. Step 6: Final answer
    x = 452,263.27

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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.