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Finding the Fourth Proportional to 315,146.34, 472,596.12 and 109,929.15

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Solution

The fourth proportional to 315,146.34, 472,596.12 and 109,929.15 is: 164,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,146.34 : 472,596.12 = 109,929.15 : x
  2. Step 2: Convert to fraction form
    315,146.34/472,596.12 = 109,929.15/x
  3. Step 3: Cross multiply
    315,146.34x = 472,596.12 × 109,929.15
  4. Step 4: Simplify right side
    315,146.34x = 51,952,089,764.90
  5. Step 5: Solve for x
    x = 51,952,089,764.90/315,146.34
  6. Step 6: Final answer
    x = 164,850.68

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1.5x scale

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.