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Finding the Fourth Proportional to 315,847, 473,802.36 and 102,606.04

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Solution

The fourth proportional to 315,847, 473,802.36 and 102,606.04 is: 153,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,847 : 473,802.36 = 102,606.04 : x
  2. Step 2: Convert to fraction form
    315,847/473,802.36 = 102,606.04/x
  3. Step 3: Cross multiply
    315,847x = 473,802.36 × 102,606.04
  4. Step 4: Simplify right side
    315,847x = 48,614,983,902.25
  5. Step 5: Solve for x
    x = 48,614,983,902.25/315,847
  6. Step 6: Final answer
    x = 153,919.41

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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.