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Finding the Fourth Proportional to 399,711.60, 599,567.40 and 213,087.60

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Solution

The fourth proportional to 399,711.60, 599,567.40 and 213,087.60 is: 319,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,711.60 : 599,567.40 = 213,087.60 : x
  2. Step 2: Convert to fraction form
    399,711.60/599,567.40 = 213,087.60/x
  3. Step 3: Cross multiply
    399,711.60x = 599,567.40 × 213,087.60
  4. Step 4: Simplify right side
    399,711.60x = 127,760,378,304.24
  5. Step 5: Solve for x
    x = 127,760,378,304.24/399,711.60
  6. Step 6: Final answer
    x = 319,631.40

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