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Finding the Fourth Proportional to 471,457.60, 650,611.50 and 256,599.24

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Solution

The fourth proportional to 471,457.60, 650,611.50 and 256,599.24 is: 354,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,457.60 : 650,611.50 = 256,599.24 : x
  2. Step 2: Convert to fraction form
    471,457.60/650,611.50 = 256,599.24/x
  3. Step 3: Cross multiply
    471,457.60x = 650,611.50 × 256,599.24
  4. Step 4: Simplify right side
    471,457.60x = 166,946,416,435.26
  5. Step 5: Solve for x
    x = 166,946,416,435.26/471,457.60
  6. Step 6: Final answer
    x = 354,106.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.