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Finding the Fourth Proportional to 402,186.44, 603,357.42 and 152,849

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Solution

The fourth proportional to 402,186.44, 603,357.42 and 152,849 is: 229,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,186.44 : 603,357.42 = 152,849 : x
  2. Step 2: Convert to fraction form
    402,186.44/603,357.42 = 152,849/x
  3. Step 3: Cross multiply
    402,186.44x = 603,357.42 × 152,849
  4. Step 4: Simplify right side
    402,186.44x = 92,222,578,289.58
  5. Step 5: Solve for x
    x = 92,222,578,289.58/402,186.44
  6. Step 6: Final answer
    x = 229,303.05

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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.