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Finding the Fourth Proportional to 313,928.60, 470,892.90 and 156,464.60

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Solution

The fourth proportional to 313,928.60, 470,892.90 and 156,464.60 is: 234,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,928.60 : 470,892.90 = 156,464.60 : x
  2. Step 2: Convert to fraction form
    313,928.60/470,892.90 = 156,464.60/x
  3. Step 3: Cross multiply
    313,928.60x = 470,892.90 × 156,464.60
  4. Step 4: Simplify right side
    313,928.60x = 73,678,069,241.34
  5. Step 5: Solve for x
    x = 73,678,069,241.34/313,928.60
  6. Step 6: Final answer
    x = 234,696.90

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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.