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Finding the Fourth Proportional to 296,165.60, 444,313.20 and 96,495.20

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Solution

The fourth proportional to 296,165.60, 444,313.20 and 96,495.20 is: 144,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,165.60 : 444,313.20 = 96,495.20 : x
  2. Step 2: Convert to fraction form
    296,165.60/444,313.20 = 96,495.20/x
  3. Step 3: Cross multiply
    296,165.60x = 444,313.20 × 96,495.20
  4. Step 4: Simplify right side
    296,165.60x = 42,874,091,096.64
  5. Step 5: Solve for x
    x = 42,874,091,096.64/296,165.60
  6. Step 6: Final answer
    x = 144,763.91

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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.