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Finding the Fourth Proportional to 296,845.60, 445,225.20 and 86,461.60

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Solution

The fourth proportional to 296,845.60, 445,225.20 and 86,461.60 is: 129,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,845.60 : 445,225.20 = 86,461.60 : x
  2. Step 2: Convert to fraction form
    296,845.60/445,225.20 = 86,461.60/x
  3. Step 3: Cross multiply
    296,845.60x = 445,225.20 × 86,461.60
  4. Step 4: Simplify right side
    296,845.60x = 38,494,883,152.32
  5. Step 5: Solve for x
    x = 38,494,883,152.32/296,845.60
  6. Step 6: Final answer
    x = 129,679.82

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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.