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Finding the Fourth Proportional to 395,264.97, 545,465.53 and 213,976.76

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Solution

The fourth proportional to 395,264.97, 545,465.53 and 213,976.76 is: 295,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,264.97 : 545,465.53 = 213,976.76 : x
  2. Step 2: Convert to fraction form
    395,264.97/545,465.53 = 213,976.76/x
  3. Step 3: Cross multiply
    395,264.97x = 545,465.53 × 213,976.76
  4. Step 4: Simplify right side
    395,264.97x = 116,716,946,801.08
  5. Step 5: Solve for x
    x = 116,716,946,801.08/395,264.97
  6. Step 6: Final answer
    x = 295,287.86

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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.