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Finding the Fourth Proportional to 402,682.29, 604,027.07 and 122,199.54

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Solution

The fourth proportional to 402,682.29, 604,027.07 and 122,199.54 is: 183,300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,682.29 : 604,027.07 = 122,199.54 : x
  2. Step 2: Convert to fraction form
    402,682.29/604,027.07 = 122,199.54/x
  3. Step 3: Cross multiply
    402,682.29x = 604,027.07 × 122,199.54
  4. Step 4: Simplify right side
    402,682.29x = 73,811,830,101.55
  5. Step 5: Solve for x
    x = 73,811,830,101.55/402,682.29
  6. Step 6: Final answer
    x = 183,300.41

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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.