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Finding the Fourth Proportional to 606,153.40, 909,197.14 and 185,429.27

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Solution

The fourth proportional to 606,153.40, 909,197.14 and 185,429.27 is: 278,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,153.40 : 909,197.14 = 185,429.27 : x
  2. Step 2: Convert to fraction form
    606,153.40/909,197.14 = 185,429.27/x
  3. Step 3: Cross multiply
    606,153.40x = 909,197.14 × 185,429.27
  4. Step 4: Simplify right side
    606,153.40x = 168,591,763,765.71
  5. Step 5: Solve for x
    x = 168,591,763,765.71/606,153.40
  6. Step 6: Final answer
    x = 278,133.83

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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.