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Finding the Fourth Proportional to 402,416.20, 603,405.60 and 136,039.60

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Solution

The fourth proportional to 402,416.20, 603,405.60 and 136,039.60 is: 203,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,416.20 : 603,405.60 = 136,039.60 : x
  2. Step 2: Convert to fraction form
    402,416.20/603,405.60 = 136,039.60/x
  3. Step 3: Cross multiply
    402,416.20x = 603,405.60 × 136,039.60
  4. Step 4: Simplify right side
    402,416.20x = 82,087,056,461.76
  5. Step 5: Solve for x
    x = 82,087,056,461.76/402,416.20
  6. Step 6: Final answer
    x = 203,985.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.