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Finding the Fourth Proportional to 402,677.54, 604,019.94 and 122,194.79

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Solution

The fourth proportional to 402,677.54, 604,019.94 and 122,194.79 is: 183,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,677.54 : 604,019.94 = 122,194.79 : x
  2. Step 2: Convert to fraction form
    402,677.54/604,019.94 = 122,194.79/x
  3. Step 3: Cross multiply
    402,677.54x = 604,019.94 × 122,194.79
  4. Step 4: Simplify right side
    402,677.54x = 73,808,086,704.01
  5. Step 5: Solve for x
    x = 73,808,086,704.01/402,677.54
  6. Step 6: Final answer
    x = 183,293.28

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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.