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Finding the Fourth Proportional to 314,881.20, 472,014.60 and 281,703.60

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Solution

The fourth proportional to 314,881.20, 472,014.60 and 281,703.60 is: 422,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,881.20 : 472,014.60 = 281,703.60 : x
  2. Step 2: Convert to fraction form
    314,881.20/472,014.60 = 281,703.60/x
  3. Step 3: Cross multiply
    314,881.20x = 472,014.60 × 281,703.60
  4. Step 4: Simplify right side
    314,881.20x = 132,968,212,072.56
  5. Step 5: Solve for x
    x = 132,968,212,072.56/314,881.20
  6. Step 6: Final answer
    x = 422,280.57

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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.