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Finding the Fourth Proportional to 582,409.17, 873,571.64 and 183,164.15

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Solution

The fourth proportional to 582,409.17, 873,571.64 and 183,164.15 is: 274,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,409.17 : 873,571.64 = 183,164.15 : x
  2. Step 2: Convert to fraction form
    582,409.17/873,571.64 = 183,164.15/x
  3. Step 3: Cross multiply
    582,409.17x = 873,571.64 × 183,164.15
  4. Step 4: Simplify right side
    582,409.17x = 160,007,008,172.81
  5. Step 5: Solve for x
    x = 160,007,008,172.81/582,409.17
  6. Step 6: Final answer
    x = 274,732.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.