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Finding the Fourth Proportional to 296,834.80, 445,295.40 and 97,106.80

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Solution

The fourth proportional to 296,834.80, 445,295.40 and 97,106.80 is: 145,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,834.80 : 445,295.40 = 97,106.80 : x
  2. Step 2: Convert to fraction form
    296,834.80/445,295.40 = 97,106.80/x
  3. Step 3: Cross multiply
    296,834.80x = 445,295.40 × 97,106.80
  4. Step 4: Simplify right side
    296,834.80x = 43,241,211,348.72
  5. Step 5: Solve for x
    x = 43,241,211,348.72/296,834.80
  6. Step 6: Final answer
    x = 145,674.33

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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.