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Finding the Fourth Proportional to 285,955.20, 428,932.80 and 219,729.60

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Solution

The fourth proportional to 285,955.20, 428,932.80 and 219,729.60 is: 329,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,955.20 : 428,932.80 = 219,729.60 : x
  2. Step 2: Convert to fraction form
    285,955.20/428,932.80 = 219,729.60/x
  3. Step 3: Cross multiply
    285,955.20x = 428,932.80 × 219,729.60
  4. Step 4: Simplify right side
    285,955.20x = 94,249,232,570.88
  5. Step 5: Solve for x
    x = 94,249,232,570.88/285,955.20
  6. Step 6: Final answer
    x = 329,594.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.