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Finding the Fourth Proportional to 461,204.40, 692,195.40 and 224,749.20

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Solution

The fourth proportional to 461,204.40, 692,195.40 and 224,749.20 is: 337,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,204.40 : 692,195.40 = 224,749.20 : x
  2. Step 2: Convert to fraction form
    461,204.40/692,195.40 = 224,749.20/x
  3. Step 3: Cross multiply
    461,204.40x = 692,195.40 × 224,749.20
  4. Step 4: Simplify right side
    461,204.40x = 155,570,362,393.68
  5. Step 5: Solve for x
    x = 155,570,362,393.68/461,204.40
  6. Step 6: Final answer
    x = 337,313.27

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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.