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Finding the Fourth Proportional to 470,224.69, 705,363.69 and 150,404.65

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Solution

The fourth proportional to 470,224.69, 705,363.69 and 150,404.65 is: 225,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,224.69 : 705,363.69 = 150,404.65 : x
  2. Step 2: Convert to fraction form
    470,224.69/705,363.69 = 150,404.65/x
  3. Step 3: Cross multiply
    470,224.69x = 705,363.69 × 150,404.65
  4. Step 4: Simplify right side
    470,224.69x = 106,089,977,717.77
  5. Step 5: Solve for x
    x = 106,089,977,717.77/470,224.69
  6. Step 6: Final answer
    x = 225,615.50

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1.5x scale

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.