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Finding the Fourth Proportional to 512,454.06, 768,602.27 and 170,903.47

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Solution

The fourth proportional to 512,454.06, 768,602.27 and 170,903.47 is: 256,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,454.06 : 768,602.27 = 170,903.47 : x
  2. Step 2: Convert to fraction form
    512,454.06/768,602.27 = 170,903.47/x
  3. Step 3: Cross multiply
    512,454.06x = 768,602.27 × 170,903.47
  4. Step 4: Simplify right side
    512,454.06x = 131,356,793,978.43
  5. Step 5: Solve for x
    x = 131,356,793,978.43/512,454.06
  6. Step 6: Final answer
    x = 256,328.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.