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Finding the Fourth Proportional to 470,207.98, 649,085.63 and 317,453.07

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Solution

The fourth proportional to 470,207.98, 649,085.63 and 317,453.07 is: 438,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,207.98 : 649,085.63 = 317,453.07 : x
  2. Step 2: Convert to fraction form
    470,207.98/649,085.63 = 317,453.07/x
  3. Step 3: Cross multiply
    470,207.98x = 649,085.63 × 317,453.07
  4. Step 4: Simplify right side
    470,207.98x = 206,054,225,936.38
  5. Step 5: Solve for x
    x = 206,054,225,936.38/470,207.98
  6. Step 6: Final answer
    x = 438,219.33

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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.