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Finding the Fourth Proportional to 500,206.07, 750,320.24 and 180,383.75

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Solution

The fourth proportional to 500,206.07, 750,320.24 and 180,383.75 is: 270,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,206.07 : 750,320.24 = 180,383.75 : x
  2. Step 2: Convert to fraction form
    500,206.07/750,320.24 = 180,383.75/x
  3. Step 3: Cross multiply
    500,206.07x = 750,320.24 × 180,383.75
  4. Step 4: Simplify right side
    500,206.07x = 135,345,573,938.58
  5. Step 5: Solve for x
    x = 135,345,573,938.58/500,206.07
  6. Step 6: Final answer
    x = 270,579.63

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Why These Related Problems?

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