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Finding the Fourth Proportional to 782,402.07, 1,173,603.07 and 427,222.34

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Solution

The fourth proportional to 782,402.07, 1,173,603.07 and 427,222.34 is: 640,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,402.07 : 1,173,603.07 = 427,222.34 : x
  2. Step 2: Convert to fraction form
    782,402.07/1,173,603.07 = 427,222.34/x
  3. Step 3: Cross multiply
    782,402.07x = 1,173,603.07 × 427,222.34
  4. Step 4: Simplify right side
    782,402.07x = 501,389,449,796.58
  5. Step 5: Solve for x
    x = 501,389,449,796.58/782,402.07
  6. Step 6: Final answer
    x = 640,833.49

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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.