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Finding the Fourth Proportional to 296,686.95, 445,087.71 and 96,953.46

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Solution

The fourth proportional to 296,686.95, 445,087.71 and 96,953.46 is: 145,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,686.95 : 445,087.71 = 96,953.46 : x
  2. Step 2: Convert to fraction form
    296,686.95/445,087.71 = 96,953.46/x
  3. Step 3: Cross multiply
    296,686.95x = 445,087.71 × 96,953.46
  4. Step 4: Simplify right side
    296,686.95x = 43,152,793,487.98
  5. Step 5: Solve for x
    x = 43,152,793,487.98/296,686.95
  6. Step 6: Final answer
    x = 145,448.91

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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.