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Finding the Fourth Proportional to 313,485.80, 470,228.70 and 103,096.40

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Solution

The fourth proportional to 313,485.80, 470,228.70 and 103,096.40 is: 154,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,485.80 : 470,228.70 = 103,096.40 : x
  2. Step 2: Convert to fraction form
    313,485.80/470,228.70 = 103,096.40/x
  3. Step 3: Cross multiply
    313,485.80x = 470,228.70 × 103,096.40
  4. Step 4: Simplify right side
    313,485.80x = 48,478,886,146.68
  5. Step 5: Solve for x
    x = 48,478,886,146.68/313,485.80
  6. Step 6: Final answer
    x = 154,644.60

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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.