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Finding the Fourth Proportional to 511,528.47, 705,616.21 and 320,209.71

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Solution

The fourth proportional to 511,528.47, 705,616.21 and 320,209.71 is: 441,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,528.47 : 705,616.21 = 320,209.71 : x
  2. Step 2: Convert to fraction form
    511,528.47/705,616.21 = 320,209.71/x
  3. Step 3: Cross multiply
    511,528.47x = 705,616.21 × 320,209.71
  4. Step 4: Simplify right side
    511,528.47x = 225,945,161,975.40
  5. Step 5: Solve for x
    x = 225,945,161,975.40/511,528.47
  6. Step 6: Final answer
    x = 441,705.94

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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.