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Finding the Fourth Proportional to 470,133.63, 648,624.20 and 300,465.63

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Solution

The fourth proportional to 470,133.63, 648,624.20 and 300,465.63 is: 414,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,133.63 : 648,624.20 = 300,465.63 : x
  2. Step 2: Convert to fraction form
    470,133.63/648,624.20 = 300,465.63/x
  3. Step 3: Cross multiply
    470,133.63x = 648,624.20 × 300,465.63
  4. Step 4: Simplify right side
    470,133.63x = 194,889,277,383.92
  5. Step 5: Solve for x
    x = 194,889,277,383.92/470,133.63
  6. Step 6: Final answer
    x = 414,540.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.