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Finding the Fourth Proportional to 367,664.60, 507,298.44 and 214,633.34

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Solution

The fourth proportional to 367,664.60, 507,298.44 and 214,633.34 is: 296,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,664.60 : 507,298.44 = 214,633.34 : x
  2. Step 2: Convert to fraction form
    367,664.60/507,298.44 = 214,633.34/x
  3. Step 3: Cross multiply
    367,664.60x = 507,298.44 × 214,633.34
  4. Step 4: Simplify right side
    367,664.60x = 108,883,156,017.50
  5. Step 5: Solve for x
    x = 108,883,156,017.50/367,664.60
  6. Step 6: Final answer
    x = 296,148.06

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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.