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Finding the Fourth Proportional to 450,071.45, 675,439.46 and 213,414.96

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Solution

The fourth proportional to 450,071.45, 675,439.46 and 213,414.96 is: 320,280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,071.45 : 675,439.46 = 213,414.96 : x
  2. Step 2: Convert to fraction form
    450,071.45/675,439.46 = 213,414.96/x
  3. Step 3: Cross multiply
    450,071.45x = 675,439.46 × 213,414.96
  4. Step 4: Simplify right side
    450,071.45x = 144,148,884,271.25
  5. Step 5: Solve for x
    x = 144,148,884,271.25/450,071.45
  6. Step 6: Final answer
    x = 320,280.00

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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.