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Finding the Fourth Proportional to 470,399.40, 705,663.90 and 204,152.40

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Solution

The fourth proportional to 470,399.40, 705,663.90 and 204,152.40 is: 306,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,399.40 : 705,663.90 = 204,152.40 : x
  2. Step 2: Convert to fraction form
    470,399.40/705,663.90 = 204,152.40/x
  3. Step 3: Cross multiply
    470,399.40x = 705,663.90 × 204,152.40
  4. Step 4: Simplify right side
    470,399.40x = 144,062,978,778.36
  5. Step 5: Solve for x
    x = 144,062,978,778.36/470,399.40
  6. Step 6: Final answer
    x = 306,256.72

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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.