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Finding the Fourth Proportional to 471,460.46, 650,615.40 and 256,602.07

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Solution

The fourth proportional to 471,460.46, 650,615.40 and 256,602.07 is: 354,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,460.46 : 650,615.40 = 256,602.07 : x
  2. Step 2: Convert to fraction form
    471,460.46/650,615.40 = 256,602.07/x
  3. Step 3: Cross multiply
    471,460.46x = 650,615.40 × 256,602.07
  4. Step 4: Simplify right side
    471,460.46x = 166,949,255,160.80
  5. Step 5: Solve for x
    x = 166,949,255,160.80/471,460.46
  6. Step 6: Final answer
    x = 354,110.83

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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.