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Finding the Fourth Proportional to 470,732.01, 649,607.54 and 266,821.48

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Solution

The fourth proportional to 470,732.01, 649,607.54 and 266,821.48 is: 368,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,732.01 : 649,607.54 = 266,821.48 : x
  2. Step 2: Convert to fraction form
    470,732.01/649,607.54 = 266,821.48/x
  3. Step 3: Cross multiply
    470,732.01x = 649,607.54 × 266,821.48
  4. Step 4: Simplify right side
    470,732.01x = 173,329,245,241.96
  5. Step 5: Solve for x
    x = 173,329,245,241.96/470,732.01
  6. Step 6: Final answer
    x = 368,212.15

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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.