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Finding the Fourth Proportional to 374,254.30, 516,471.74 and 213,109.48

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Solution

The fourth proportional to 374,254.30, 516,471.74 and 213,109.48 is: 294,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,254.30 : 516,471.74 = 213,109.48 : x
  2. Step 2: Convert to fraction form
    374,254.30/516,471.74 = 213,109.48/x
  3. Step 3: Cross multiply
    374,254.30x = 516,471.74 × 213,109.48
  4. Step 4: Simplify right side
    374,254.30x = 110,065,023,946.10
  5. Step 5: Solve for x
    x = 110,065,023,946.10/374,254.30
  6. Step 6: Final answer
    x = 294,091.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.