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Finding the Fourth Proportional to 494,896.92, 742,284.36 and 210,701.76

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Solution

The fourth proportional to 494,896.92, 742,284.36 and 210,701.76 is: 316,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,896.92 : 742,284.36 = 210,701.76 : x
  2. Step 2: Convert to fraction form
    494,896.92/742,284.36 = 210,701.76/x
  3. Step 3: Cross multiply
    494,896.92x = 742,284.36 × 210,701.76
  4. Step 4: Simplify right side
    494,896.92x = 156,400,621,072.47
  5. Step 5: Solve for x
    x = 156,400,621,072.47/494,896.92
  6. Step 6: Final answer
    x = 316,026.66

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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.