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Finding the Fourth Proportional to 413,715.60, 620,688.60 and 203,360.40

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Solution

The fourth proportional to 413,715.60, 620,688.60 and 203,360.40 is: 305,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,715.60 : 620,688.60 = 203,360.40 : x
  2. Step 2: Convert to fraction form
    413,715.60/620,688.60 = 203,360.40/x
  3. Step 3: Cross multiply
    413,715.60x = 620,688.60 × 203,360.40
  4. Step 4: Simplify right side
    413,715.60x = 126,223,481,971.44
  5. Step 5: Solve for x
    x = 126,223,481,971.44/413,715.60
  6. Step 6: Final answer
    x = 305,097.23

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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.