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Finding the Fourth Proportional to 362,378.16, 500,085.38 and 211,446

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Solution

The fourth proportional to 362,378.16, 500,085.38 and 211,446 is: 291,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,378.16 : 500,085.38 = 211,446 : x
  2. Step 2: Convert to fraction form
    362,378.16/500,085.38 = 211,446/x
  3. Step 3: Cross multiply
    362,378.16x = 500,085.38 × 211,446
  4. Step 4: Simplify right side
    362,378.16x = 105,741,053,259.48
  5. Step 5: Solve for x
    x = 105,741,053,259.48/362,378.16
  6. Step 6: Final answer
    x = 291,797.53

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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.