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Finding the Fourth Proportional to 314,971.92, 472,451.40 and 104,611.68

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Solution

The fourth proportional to 314,971.92, 472,451.40 and 104,611.68 is: 156,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,971.92 : 472,451.40 = 104,611.68 : x
  2. Step 2: Convert to fraction form
    314,971.92/472,451.40 = 104,611.68/x
  3. Step 3: Cross multiply
    314,971.92x = 472,451.40 × 104,611.68
  4. Step 4: Simplify right side
    314,971.92x = 49,423,934,672.35
  5. Step 5: Solve for x
    x = 49,423,934,672.35/314,971.92
  6. Step 6: Final answer
    x = 156,915.37

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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.