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Finding the Fourth Proportional to 582,006.85, 873,141.63 and 177,235.27

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Solution

The fourth proportional to 582,006.85, 873,141.63 and 177,235.27 is: 265,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,006.85 : 873,141.63 = 177,235.27 : x
  2. Step 2: Convert to fraction form
    582,006.85/873,141.63 = 177,235.27/x
  3. Step 3: Cross multiply
    582,006.85x = 873,141.63 × 177,235.27
  4. Step 4: Simplify right side
    582,006.85x = 154,751,492,541.29
  5. Step 5: Solve for x
    x = 154,751,492,541.29/582,006.85
  6. Step 6: Final answer
    x = 265,892.91

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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.