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Finding the Fourth Proportional to 315,211.90, 472,861.05 and 104,827.90

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Solution

The fourth proportional to 315,211.90, 472,861.05 and 104,827.90 is: 157,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,211.90 : 472,861.05 = 104,827.90 : x
  2. Step 2: Convert to fraction form
    315,211.90/472,861.05 = 104,827.90/x
  3. Step 3: Cross multiply
    315,211.90x = 472,861.05 × 104,827.90
  4. Step 4: Simplify right side
    315,211.90x = 49,569,030,863.30
  5. Step 5: Solve for x
    x = 49,569,030,863.30/315,211.90
  6. Step 6: Final answer
    x = 157,256.22

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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.