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Finding the Fourth Proportional to 562,407.05, 843,606.52 and 225,442.80

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Solution

The fourth proportional to 562,407.05, 843,606.52 and 225,442.80 is: 338,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,407.05 : 843,606.52 = 225,442.80 : x
  2. Step 2: Convert to fraction form
    562,407.05/843,606.52 = 225,442.80/x
  3. Step 3: Cross multiply
    562,407.05x = 843,606.52 × 225,442.80
  4. Step 4: Simplify right side
    562,407.05x = 190,185,015,403.45
  5. Step 5: Solve for x
    x = 190,185,015,403.45/562,407.05
  6. Step 6: Final answer
    x = 338,162.57

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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.