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Finding the Fourth Proportional to 296,708.94, 445,133.43 and 97,028.55

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Solution

The fourth proportional to 296,708.94, 445,133.43 and 97,028.55 is: 145,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,708.94 : 445,133.43 = 97,028.55 : x
  2. Step 2: Convert to fraction form
    296,708.94/445,133.43 = 97,028.55/x
  3. Step 3: Cross multiply
    296,708.94x = 445,133.43 × 97,028.55
  4. Step 4: Simplify right side
    296,708.94x = 43,190,651,269.43
  5. Step 5: Solve for x
    x = 43,190,651,269.43/296,708.94
  6. Step 6: Final answer
    x = 145,565.72

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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.