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Finding the Fourth Proportional to 315,162.18, 434,960.01 and 175,474.98

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Solution

The fourth proportional to 315,162.18, 434,960.01 and 175,474.98 is: 242,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,162.18 : 434,960.01 = 175,474.98 : x
  2. Step 2: Convert to fraction form
    315,162.18/434,960.01 = 175,474.98/x
  3. Step 3: Cross multiply
    315,162.18x = 434,960.01 × 175,474.98
  4. Step 4: Simplify right side
    315,162.18x = 76,324,599,055.55
  5. Step 5: Solve for x
    x = 76,324,599,055.55/315,162.18
  6. Step 6: Final answer
    x = 242,175.63

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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.