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Finding the Fourth Proportional to 470,206.63, 705,218.13 and 150,272.67

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Solution

The fourth proportional to 470,206.63, 705,218.13 and 150,272.67 is: 225,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,206.63 : 705,218.13 = 150,272.67 : x
  2. Step 2: Convert to fraction form
    470,206.63/705,218.13 = 150,272.67/x
  3. Step 3: Cross multiply
    470,206.63x = 705,218.13 × 150,272.67
  4. Step 4: Simplify right side
    470,206.63x = 105,975,012,714.87
  5. Step 5: Solve for x
    x = 105,975,012,714.87/470,206.63
  6. Step 6: Final answer
    x = 225,379.67

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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.