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Finding the Fourth Proportional to 314,033.60, 470,860.74 and 140,893.73

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Solution

The fourth proportional to 314,033.60, 470,860.74 and 140,893.73 is: 211,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,033.60 : 470,860.74 = 140,893.73 : x
  2. Step 2: Convert to fraction form
    314,033.60/470,860.74 = 140,893.73/x
  3. Step 3: Cross multiply
    314,033.60x = 470,860.74 × 140,893.73
  4. Step 4: Simplify right side
    314,033.60x = 66,341,323,614.86
  5. Step 5: Solve for x
    x = 66,341,323,614.86/314,033.60
  6. Step 6: Final answer
    x = 211,255.50

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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.