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Finding the Fourth Proportional to 313,898.80, 470,904.60 and 114,498.92

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Solution

The fourth proportional to 313,898.80, 470,904.60 and 114,498.92 is: 171,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,898.80 : 470,904.60 = 114,498.92 : x
  2. Step 2: Convert to fraction form
    313,898.80/470,904.60 = 114,498.92/x
  3. Step 3: Cross multiply
    313,898.80x = 470,904.60 × 114,498.92
  4. Step 4: Simplify right side
    313,898.80x = 53,918,068,123.03
  5. Step 5: Solve for x
    x = 53,918,068,123.03/313,898.80
  6. Step 6: Final answer
    x = 171,768.95

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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.