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Finding the Fourth Proportional to 471,365.90, 650,498.51 and 256,519.57

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Solution

The fourth proportional to 471,365.90, 650,498.51 and 256,519.57 is: 354,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,365.90 : 650,498.51 = 256,519.57 : x
  2. Step 2: Convert to fraction form
    471,365.90/650,498.51 = 256,519.57/x
  3. Step 3: Cross multiply
    471,365.90x = 650,498.51 × 256,519.57
  4. Step 4: Simplify right side
    471,365.90x = 166,865,598,070.84
  5. Step 5: Solve for x
    x = 166,865,598,070.84/471,365.90
  6. Step 6: Final answer
    x = 354,004.39

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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.