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Finding the Fourth Proportional to 562,291.50, 843,438.06 and 229,867.50

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Solution

The fourth proportional to 562,291.50, 843,438.06 and 229,867.50 is: 344,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,291.50 : 843,438.06 = 229,867.50 : x
  2. Step 2: Convert to fraction form
    562,291.50/843,438.06 = 229,867.50/x
  3. Step 3: Cross multiply
    562,291.50x = 843,438.06 × 229,867.50
  4. Step 4: Simplify right side
    562,291.50x = 193,878,998,257.05
  5. Step 5: Solve for x
    x = 193,878,998,257.05/562,291.50
  6. Step 6: Final answer
    x = 344,801.58

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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.