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Finding the Fourth Proportional to 369,361.68, 509,723.64 and 208,216.80

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Solution

The fourth proportional to 369,361.68, 509,723.64 and 208,216.80 is: 287,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,361.68 : 509,723.64 = 208,216.80 : x
  2. Step 2: Convert to fraction form
    369,361.68/509,723.64 = 208,216.80/x
  3. Step 3: Cross multiply
    369,361.68x = 509,723.64 × 208,216.80
  4. Step 4: Simplify right side
    369,361.68x = 106,133,025,205.15
  5. Step 5: Solve for x
    x = 106,133,025,205.15/369,361.68
  6. Step 6: Final answer
    x = 287,341.73

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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.