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Finding the Fourth Proportional to 582,005.09, 873,138.98 and 177,233.50

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Solution

The fourth proportional to 582,005.09, 873,138.98 and 177,233.50 is: 265,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,005.09 : 873,138.98 = 177,233.50 : x
  2. Step 2: Convert to fraction form
    582,005.09/873,138.98 = 177,233.50/x
  3. Step 3: Cross multiply
    582,005.09x = 873,138.98 × 177,233.50
  4. Step 4: Simplify right side
    582,005.09x = 154,749,477,411.83
  5. Step 5: Solve for x
    x = 154,749,477,411.83/582,005.09
  6. Step 6: Final answer
    x = 265,890.25

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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.