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Finding the Fourth Proportional to 385,828.20, 532,430.52 and 213,739.14

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Solution

The fourth proportional to 385,828.20, 532,430.52 and 213,739.14 is: 294,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,828.20 : 532,430.52 = 213,739.14 : x
  2. Step 2: Convert to fraction form
    385,828.20/532,430.52 = 213,739.14/x
  3. Step 3: Cross multiply
    385,828.20x = 532,430.52 × 213,739.14
  4. Step 4: Simplify right side
    385,828.20x = 113,801,241,454.55
  5. Step 5: Solve for x
    x = 113,801,241,454.55/385,828.20
  6. Step 6: Final answer
    x = 294,953.15

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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.