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Finding the Fourth Proportional to 470,226.69, 705,366.69 and 150,406.65

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Solution

The fourth proportional to 470,226.69, 705,366.69 and 150,406.65 is: 225,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,226.69 : 705,366.69 = 150,406.65 : x
  2. Step 2: Convert to fraction form
    470,226.69/705,366.69 = 150,406.65/x
  3. Step 3: Cross multiply
    470,226.69x = 705,366.69 × 150,406.65
  4. Step 4: Simplify right side
    470,226.69x = 106,091,840,864.49
  5. Step 5: Solve for x
    x = 106,091,840,864.49/470,226.69
  6. Step 6: Final answer
    x = 225,618.50

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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.