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Finding the Fourth Proportional to 470,780.02, 649,662.78 and 266,849.74

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Solution

The fourth proportional to 470,780.02, 649,662.78 and 266,849.74 is: 368,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,780.02 : 649,662.78 = 266,849.74 : x
  2. Step 2: Convert to fraction form
    470,780.02/649,662.78 = 266,849.74/x
  3. Step 3: Cross multiply
    470,780.02x = 649,662.78 × 266,849.74
  4. Step 4: Simplify right side
    470,780.02x = 173,362,343,930.68
  5. Step 5: Solve for x
    x = 173,362,343,930.68/470,780.02
  6. Step 6: Final answer
    x = 368,244.91

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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.