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Finding the Fourth Proportional to 313,816.40, 470,724.60 and 103,403.60

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Solution

The fourth proportional to 313,816.40, 470,724.60 and 103,403.60 is: 155,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,816.40 : 470,724.60 = 103,403.60 : x
  2. Step 2: Convert to fraction form
    313,816.40/470,724.60 = 103,403.60/x
  3. Step 3: Cross multiply
    313,816.40x = 470,724.60 × 103,403.60
  4. Step 4: Simplify right side
    313,816.40x = 48,674,618,248.56
  5. Step 5: Solve for x
    x = 48,674,618,248.56/313,816.40
  6. Step 6: Final answer
    x = 155,105.40

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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.