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Finding the Fourth Proportional to 347,794.64, 521,766.80 and 107,903.76

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Solution

The fourth proportional to 347,794.64, 521,766.80 and 107,903.76 is: 161,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,794.64 : 521,766.80 = 107,903.76 : x
  2. Step 2: Convert to fraction form
    347,794.64/521,766.80 = 107,903.76/x
  3. Step 3: Cross multiply
    347,794.64x = 521,766.80 × 107,903.76
  4. Step 4: Simplify right side
    347,794.64x = 56,300,599,563.17
  5. Step 5: Solve for x
    x = 56,300,599,563.17/347,794.64
  6. Step 6: Final answer
    x = 161,878.86

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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.