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Finding the Fourth Proportional to 386,033.94, 532,699.95 and 213,950.22

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Solution

The fourth proportional to 386,033.94, 532,699.95 and 213,950.22 is: 295,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,033.94 : 532,699.95 = 213,950.22 : x
  2. Step 2: Convert to fraction form
    386,033.94/532,699.95 = 213,950.22/x
  3. Step 3: Cross multiply
    386,033.94x = 532,699.95 × 213,950.22
  4. Step 4: Simplify right side
    386,033.94x = 113,971,271,496.49
  5. Step 5: Solve for x
    x = 113,971,271,496.49/386,033.94
  6. Step 6: Final answer
    x = 295,236.40

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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.