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Finding the Fourth Proportional to 470,334.95, 705,549.15 and 150,406.44

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Solution

The fourth proportional to 470,334.95, 705,549.15 and 150,406.44 is: 225,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,334.95 : 705,549.15 = 150,406.44 : x
  2. Step 2: Convert to fraction form
    470,334.95/705,549.15 = 150,406.44/x
  3. Step 3: Cross multiply
    470,334.95x = 705,549.15 × 150,406.44
  4. Step 4: Simplify right side
    470,334.95x = 106,119,133,250.72
  5. Step 5: Solve for x
    x = 106,119,133,250.72/470,334.95
  6. Step 6: Final answer
    x = 225,624.59

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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.