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Finding the Fourth Proportional to 284,812.75, 427,312.73 and 116,474.68

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Solution

The fourth proportional to 284,812.75, 427,312.73 and 116,474.68 is: 174,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,812.75 : 427,312.73 = 116,474.68 : x
  2. Step 2: Convert to fraction form
    284,812.75/427,312.73 = 116,474.68/x
  3. Step 3: Cross multiply
    284,812.75x = 427,312.73 × 116,474.68
  4. Step 4: Simplify right side
    284,812.75x = 49,771,113,486.68
  5. Step 5: Solve for x
    x = 49,771,113,486.68/284,812.75
  6. Step 6: Final answer
    x = 174,750.30

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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.