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Finding the Fourth Proportional to 381,286.90, 525,746.46 and 312,161.50

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Solution

The fourth proportional to 381,286.90, 525,746.46 and 312,161.50 is: 430,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,286.90 : 525,746.46 = 312,161.50 : x
  2. Step 2: Convert to fraction form
    381,286.90/525,746.46 = 312,161.50/x
  3. Step 3: Cross multiply
    381,286.90x = 525,746.46 × 312,161.50
  4. Step 4: Simplify right side
    381,286.90x = 164,117,803,573.29
  5. Step 5: Solve for x
    x = 164,117,803,573.29/381,286.90
  6. Step 6: Final answer
    x = 430,431.27

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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.