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Finding the Fourth Proportional to 533,460.43, 736,443.09 and 412,327.97

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Solution

The fourth proportional to 533,460.43, 736,443.09 and 412,327.97 is: 569,219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,460.43 : 736,443.09 = 412,327.97 : x
  2. Step 2: Convert to fraction form
    533,460.43/736,443.09 = 412,327.97/x
  3. Step 3: Cross multiply
    533,460.43x = 736,443.09 × 412,327.97
  4. Step 4: Simplify right side
    533,460.43x = 303,656,084,320.23
  5. Step 5: Solve for x
    x = 303,656,084,320.23/533,460.43
  6. Step 6: Final answer
    x = 569,219.51

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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.