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Finding the Fourth Proportional to 471,710.25, 650,959.71 and 256,851.85

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Solution

The fourth proportional to 471,710.25, 650,959.71 and 256,851.85 is: 354,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,710.25 : 650,959.71 = 256,851.85 : x
  2. Step 2: Convert to fraction form
    471,710.25/650,959.71 = 256,851.85/x
  3. Step 3: Cross multiply
    471,710.25x = 650,959.71 × 256,851.85
  4. Step 4: Simplify right side
    471,710.25x = 167,200,205,788.96
  5. Step 5: Solve for x
    x = 167,200,205,788.96/471,710.25
  6. Step 6: Final answer
    x = 354,455.32

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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.