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Finding the Fourth Proportional to 298,811.45, 448,304.72 and 96,403.46

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Solution

The fourth proportional to 298,811.45, 448,304.72 and 96,403.46 is: 144,633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,811.45 : 448,304.72 = 96,403.46 : x
  2. Step 2: Convert to fraction form
    298,811.45/448,304.72 = 96,403.46/x
  3. Step 3: Cross multiply
    298,811.45x = 448,304.72 × 96,403.46
  4. Step 4: Simplify right side
    298,811.45x = 43,218,124,141.82
  5. Step 5: Solve for x
    x = 43,218,124,141.82/298,811.45
  6. Step 6: Final answer
    x = 144,633.43

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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.