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Finding the Fourth Proportional to 370,219.82, 510,954.05 and 213,052.48

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Solution

The fourth proportional to 370,219.82, 510,954.05 and 213,052.48 is: 294,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,219.82 : 510,954.05 = 213,052.48 : x
  2. Step 2: Convert to fraction form
    370,219.82/510,954.05 = 213,052.48/x
  3. Step 3: Cross multiply
    370,219.82x = 510,954.05 × 213,052.48
  4. Step 4: Simplify right side
    370,219.82x = 108,860,026,773.79
  5. Step 5: Solve for x
    x = 108,860,026,773.79/370,219.82
  6. Step 6: Final answer
    x = 294,041.60

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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.