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Finding the Fourth Proportional to 471,369.40, 650,503.34 and 256,523.08

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Solution

The fourth proportional to 471,369.40, 650,503.34 and 256,523.08 is: 354,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,369.40 : 650,503.34 = 256,523.08 : x
  2. Step 2: Convert to fraction form
    471,369.40/650,503.34 = 256,523.08/x
  3. Step 3: Cross multiply
    471,369.40x = 650,503.34 × 256,523.08
  4. Step 4: Simplify right side
    471,369.40x = 166,869,120,327.09
  5. Step 5: Solve for x
    x = 166,869,120,327.09/471,369.40
  6. Step 6: Final answer
    x = 354,009.23

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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.