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Finding the Fourth Proportional to 367,879.56, 507,657.44 and 214,931.90

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Solution

The fourth proportional to 367,879.56, 507,657.44 and 214,931.90 is: 296,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,879.56 : 507,657.44 = 214,931.90 : x
  2. Step 2: Convert to fraction form
    367,879.56/507,657.44 = 214,931.90/x
  3. Step 3: Cross multiply
    367,879.56x = 507,657.44 × 214,931.90
  4. Step 4: Simplify right side
    367,879.56x = 109,111,778,128.34
  5. Step 5: Solve for x
    x = 109,111,778,128.34/367,879.56
  6. Step 6: Final answer
    x = 296,596.47

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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.