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Finding the Fourth Proportional to 470,516.49, 705,668.85 and 133,550.01

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Solution

The fourth proportional to 470,516.49, 705,668.85 and 133,550.01 is: 200,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,516.49 : 705,668.85 = 133,550.01 : x
  2. Step 2: Convert to fraction form
    470,516.49/705,668.85 = 133,550.01/x
  3. Step 3: Cross multiply
    470,516.49x = 705,668.85 × 133,550.01
  4. Step 4: Simplify right side
    470,516.49x = 94,242,081,974.19
  5. Step 5: Solve for x
    x = 94,242,081,974.19/470,516.49
  6. Step 6: Final answer
    x = 200,294.96

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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.