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Finding the Fourth Proportional to 562,362.40, 843,546.80 and 229,938.40

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Solution

The fourth proportional to 562,362.40, 843,546.80 and 229,938.40 is: 344,908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,362.40 : 843,546.80 = 229,938.40 : x
  2. Step 2: Convert to fraction form
    562,362.40/843,546.80 = 229,938.40/x
  3. Step 3: Cross multiply
    562,362.40x = 843,546.80 × 229,938.40
  4. Step 4: Simplify right side
    562,362.40x = 193,963,801,517.12
  5. Step 5: Solve for x
    x = 193,963,801,517.12/562,362.40
  6. Step 6: Final answer
    x = 344,908.91

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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.