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Finding the Fourth Proportional to 532,198.50, 734,433.96 and 362,728.68

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Solution

The fourth proportional to 532,198.50, 734,433.96 and 362,728.68 is: 500,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,198.50 : 734,433.96 = 362,728.68 : x
  2. Step 2: Convert to fraction form
    532,198.50/734,433.96 = 362,728.68/x
  3. Step 3: Cross multiply
    532,198.50x = 734,433.96 × 362,728.68
  4. Step 4: Simplify right side
    532,198.50x = 266,400,260,857.97
  5. Step 5: Solve for x
    x = 266,400,260,857.97/532,198.50
  6. Step 6: Final answer
    x = 500,565.60

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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.