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Finding the Fourth Proportional to 514,194.12, 710,941.86 and 450,348.84

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Solution

The fourth proportional to 514,194.12, 710,941.86 and 450,348.84 is: 622,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,194.12 : 710,941.86 = 450,348.84 : x
  2. Step 2: Convert to fraction form
    514,194.12/710,941.86 = 450,348.84/x
  3. Step 3: Cross multiply
    514,194.12x = 710,941.86 × 450,348.84
  4. Step 4: Simplify right side
    514,194.12x = 320,171,841,958.44
  5. Step 5: Solve for x
    x = 320,171,841,958.44/514,194.12
  6. Step 6: Final answer
    x = 622,667.26

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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.