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Finding the Fourth Proportional to 296,543.30, 444,858.15 and 96,872.90

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Solution

The fourth proportional to 296,543.30, 444,858.15 and 96,872.90 is: 145,323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,543.30 : 444,858.15 = 96,872.90 : x
  2. Step 2: Convert to fraction form
    296,543.30/444,858.15 = 96,872.90/x
  3. Step 3: Cross multiply
    296,543.30x = 444,858.15 × 96,872.90
  4. Step 4: Simplify right side
    296,543.30x = 43,094,699,079.14
  5. Step 5: Solve for x
    x = 43,094,699,079.14/296,543.30
  6. Step 6: Final answer
    x = 145,323.46

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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.