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Finding the Fourth Proportional to 645,544, 968,471.52 and 202,312

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Solution

The fourth proportional to 645,544, 968,471.52 and 202,312 is: 303,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,544 : 968,471.52 = 202,312 : x
  2. Step 2: Convert to fraction form
    645,544/968,471.52 = 202,312/x
  3. Step 3: Cross multiply
    645,544x = 968,471.52 × 202,312
  4. Step 4: Simplify right side
    645,544x = 195,933,410,154.24
  5. Step 5: Solve for x
    x = 195,933,410,154.24/645,544
  6. Step 6: Final answer
    x = 303,516.74

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