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Finding the Fourth Proportional to 470,558.30, 649,317.74 and 266,565.52

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Solution

The fourth proportional to 470,558.30, 649,317.74 and 266,565.52 is: 367,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,558.30 : 649,317.74 = 266,565.52 : x
  2. Step 2: Convert to fraction form
    470,558.30/649,317.74 = 266,565.52/x
  3. Step 3: Cross multiply
    470,558.30x = 649,317.74 × 266,565.52
  4. Step 4: Simplify right side
    470,558.30x = 173,085,721,008.33
  5. Step 5: Solve for x
    x = 173,085,721,008.33/470,558.30
  6. Step 6: Final answer
    x = 367,830.56

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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.