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Finding the Fourth Proportional to 470,476.26, 649,289.25 and 266,528.79

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Solution

The fourth proportional to 470,476.26, 649,289.25 and 266,528.79 is: 367,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,476.26 : 649,289.25 = 266,528.79 : x
  2. Step 2: Convert to fraction form
    470,476.26/649,289.25 = 266,528.79/x
  3. Step 3: Cross multiply
    470,476.26x = 649,289.25 × 266,528.79
  4. Step 4: Simplify right side
    470,476.26x = 173,054,278,162.51
  5. Step 5: Solve for x
    x = 173,054,278,162.51/470,476.26
  6. Step 6: Final answer
    x = 367,827.86

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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.