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Finding the Fourth Proportional to 277,674.61, 416,511.92 and 67,312.56

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Solution

The fourth proportional to 277,674.61, 416,511.92 and 67,312.56 is: 100,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,674.61 : 416,511.92 = 67,312.56 : x
  2. Step 2: Convert to fraction form
    277,674.61/416,511.92 = 67,312.56/x
  3. Step 3: Cross multiply
    277,674.61x = 416,511.92 × 67,312.56
  4. Step 4: Simplify right side
    277,674.61x = 28,036,483,605.72
  5. Step 5: Solve for x
    x = 28,036,483,605.72/277,674.61
  6. Step 6: Final answer
    x = 100,968.84

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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.