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Finding the Fourth Proportional to 313,895.20, 470,842.80 and 194,047.60

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Solution

The fourth proportional to 313,895.20, 470,842.80 and 194,047.60 is: 291,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,895.20 : 470,842.80 = 194,047.60 : x
  2. Step 2: Convert to fraction form
    313,895.20/470,842.80 = 194,047.60/x
  3. Step 3: Cross multiply
    313,895.20x = 470,842.80 × 194,047.60
  4. Step 4: Simplify right side
    313,895.20x = 91,365,915,317.28
  5. Step 5: Solve for x
    x = 91,365,915,317.28/313,895.20
  6. Step 6: Final answer
    x = 291,071.40

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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.