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Finding the Fourth Proportional to 470,285.91, 705,615.81 and 150,487.05

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Solution

The fourth proportional to 470,285.91, 705,615.81 and 150,487.05 is: 225,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,285.91 : 705,615.81 = 150,487.05 : x
  2. Step 2: Convert to fraction form
    470,285.91/705,615.81 = 150,487.05/x
  3. Step 3: Cross multiply
    470,285.91x = 705,615.81 × 150,487.05
  4. Step 4: Simplify right side
    470,285.91x = 106,186,041,680.26
  5. Step 5: Solve for x
    x = 106,186,041,680.26/470,285.91
  6. Step 6: Final answer
    x = 225,790.40

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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.