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Finding the Fourth Proportional to 562,094.25, 843,152.30 and 206,925.45

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Solution

The fourth proportional to 562,094.25, 843,152.30 and 206,925.45 is: 310,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,094.25 : 843,152.30 = 206,925.45 : x
  2. Step 2: Convert to fraction form
    562,094.25/843,152.30 = 206,925.45/x
  3. Step 3: Cross multiply
    562,094.25x = 843,152.30 × 206,925.45
  4. Step 4: Simplify right side
    562,094.25x = 174,469,669,096.04
  5. Step 5: Solve for x
    x = 174,469,669,096.04/562,094.25
  6. Step 6: Final answer
    x = 310,392.20

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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.