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Finding the Fourth Proportional to 296,429.02, 444,714.38 and 96,749.77

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Solution

The fourth proportional to 296,429.02, 444,714.38 and 96,749.77 is: 145,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,429.02 : 444,714.38 = 96,749.77 : x
  2. Step 2: Convert to fraction form
    296,429.02/444,714.38 = 96,749.77/x
  3. Step 3: Cross multiply
    296,429.02x = 444,714.38 × 96,749.77
  4. Step 4: Simplify right side
    296,429.02x = 43,026,012,058.94
  5. Step 5: Solve for x
    x = 43,026,012,058.94/296,429.02
  6. Step 6: Final answer
    x = 145,147.77

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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.