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Finding the Fourth Proportional to 313,964.60, 470,946.90 and 103,591.40

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Solution

The fourth proportional to 313,964.60, 470,946.90 and 103,591.40 is: 155,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,964.60 : 470,946.90 = 103,591.40 : x
  2. Step 2: Convert to fraction form
    313,964.60/470,946.90 = 103,591.40/x
  3. Step 3: Cross multiply
    313,964.60x = 470,946.90 × 103,591.40
  4. Step 4: Simplify right side
    313,964.60x = 48,786,048,696.66
  5. Step 5: Solve for x
    x = 48,786,048,696.66/313,964.60
  6. Step 6: Final answer
    x = 155,387.10

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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.