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Finding the Fourth Proportional to 470,594.62, 705,979.41 and 155,063.98

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Solution

The fourth proportional to 470,594.62, 705,979.41 and 155,063.98 is: 232,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,594.62 : 705,979.41 = 155,063.98 : x
  2. Step 2: Convert to fraction form
    470,594.62/705,979.41 = 155,063.98/x
  3. Step 3: Cross multiply
    470,594.62x = 705,979.41 × 155,063.98
  4. Step 4: Simplify right side
    470,594.62x = 109,471,977,112.65
  5. Step 5: Solve for x
    x = 109,471,977,112.65/470,594.62
  6. Step 6: Final answer
    x = 232,624.80

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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.