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Finding the Fourth Proportional to 298,814.46, 448,309.23 and 96,406.46

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Solution

The fourth proportional to 298,814.46, 448,309.23 and 96,406.46 is: 144,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,814.46 : 448,309.23 = 96,406.46 : x
  2. Step 2: Convert to fraction form
    298,814.46/448,309.23 = 96,406.46/x
  3. Step 3: Cross multiply
    298,814.46x = 448,309.23 × 96,406.46
  4. Step 4: Simplify right side
    298,814.46x = 43,219,903,608.08
  5. Step 5: Solve for x
    x = 43,219,903,608.08/298,814.46
  6. Step 6: Final answer
    x = 144,637.93

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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.