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Finding the Fourth Proportional to 302,353.32, 417,161.01 and 194,985

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Solution

The fourth proportional to 302,353.32, 417,161.01 and 194,985 is: 269,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,353.32 : 417,161.01 = 194,985 : x
  2. Step 2: Convert to fraction form
    302,353.32/417,161.01 = 194,985/x
  3. Step 3: Cross multiply
    302,353.32x = 417,161.01 × 194,985
  4. Step 4: Simplify right side
    302,353.32x = 81,340,139,534.85
  5. Step 5: Solve for x
    x = 81,340,139,534.85/302,353.32
  6. Step 6: Final answer
    x = 269,023.47

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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.