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Finding the Fourth Proportional to 782,404.08, 1,173,606.06 and 427,224.34

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Solution

The fourth proportional to 782,404.08, 1,173,606.06 and 427,224.34 is: 640,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,404.08 : 1,173,606.06 = 427,224.34 : x
  2. Step 2: Convert to fraction form
    782,404.08/1,173,606.06 = 427,224.34/x
  3. Step 3: Cross multiply
    782,404.08x = 1,173,606.06 × 427,224.34
  4. Step 4: Simplify right side
    782,404.08x = 501,393,074,403.50
  5. Step 5: Solve for x
    x = 501,393,074,403.50/782,404.08
  6. Step 6: Final answer
    x = 640,836.48

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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.