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Finding the Fourth Proportional to 289,260.40, 433,890.60 and 219,276.40

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Solution

The fourth proportional to 289,260.40, 433,890.60 and 219,276.40 is: 328,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,260.40 : 433,890.60 = 219,276.40 : x
  2. Step 2: Convert to fraction form
    289,260.40/433,890.60 = 219,276.40/x
  3. Step 3: Cross multiply
    289,260.40x = 433,890.60 × 219,276.40
  4. Step 4: Simplify right side
    289,260.40x = 95,141,968,761.84
  5. Step 5: Solve for x
    x = 95,141,968,761.84/289,260.40
  6. Step 6: Final answer
    x = 328,914.60

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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.