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Finding the Fourth Proportional to 284,947.88, 427,460.70 and 118,697

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Solution

The fourth proportional to 284,947.88, 427,460.70 and 118,697 is: 178,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,947.88 : 427,460.70 = 118,697 : x
  2. Step 2: Convert to fraction form
    284,947.88/427,460.70 = 118,697/x
  3. Step 3: Cross multiply
    284,947.88x = 427,460.70 × 118,697
  4. Step 4: Simplify right side
    284,947.88x = 50,738,302,707.90
  5. Step 5: Solve for x
    x = 50,738,302,707.90/284,947.88
  6. Step 6: Final answer
    x = 178,061.70

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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.