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Finding the Fourth Proportional to 284,946.30, 427,419.45 and 118,712.70

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Solution

The fourth proportional to 284,946.30, 427,419.45 and 118,712.70 is: 178,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,946.30 : 427,419.45 = 118,712.70 : x
  2. Step 2: Convert to fraction form
    284,946.30/427,419.45 = 118,712.70/x
  3. Step 3: Cross multiply
    284,946.30x = 427,419.45 × 118,712.70
  4. Step 4: Simplify right side
    284,946.30x = 50,740,116,942.02
  5. Step 5: Solve for x
    x = 50,740,116,942.02/284,946.30
  6. Step 6: Final answer
    x = 178,069.05

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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.