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Finding the Fourth Proportional to 315,224.16, 472,840.34 and 104,862.09

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Solution

The fourth proportional to 315,224.16, 472,840.34 and 104,862.09 is: 157,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,224.16 : 472,840.34 = 104,862.09 : x
  2. Step 2: Convert to fraction form
    315,224.16/472,840.34 = 104,862.09/x
  3. Step 3: Cross multiply
    315,224.16x = 472,840.34 × 104,862.09
  4. Step 4: Simplify right side
    315,224.16x = 49,583,027,537.55
  5. Step 5: Solve for x
    x = 49,583,027,537.55/315,224.16
  6. Step 6: Final answer
    x = 157,294.50

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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.