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Finding the Fourth Proportional to 313,594.58, 470,450.19 and 103,247.30

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Solution

The fourth proportional to 313,594.58, 470,450.19 and 103,247.30 is: 154,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,594.58 : 470,450.19 = 103,247.30 : x
  2. Step 2: Convert to fraction form
    313,594.58/470,450.19 = 103,247.30/x
  3. Step 3: Cross multiply
    313,594.58x = 470,450.19 × 103,247.30
  4. Step 4: Simplify right side
    313,594.58x = 48,572,711,901.99
  5. Step 5: Solve for x
    x = 48,572,711,901.99/313,594.58
  6. Step 6: Final answer
    x = 154,890.15

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1.5x scale

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.