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Finding the Fourth Proportional to 362,656.32, 500,436.38 and 209,704.43

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Solution

The fourth proportional to 362,656.32, 500,436.38 and 209,704.43 is: 289,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,656.32 : 500,436.38 = 209,704.43 : x
  2. Step 2: Convert to fraction form
    362,656.32/500,436.38 = 209,704.43/x
  3. Step 3: Cross multiply
    362,656.32x = 500,436.38 × 209,704.43
  4. Step 4: Simplify right side
    362,656.32x = 104,943,722,268.46
  5. Step 5: Solve for x
    x = 104,943,722,268.46/362,656.32
  6. Step 6: Final answer
    x = 289,375.14

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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.