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Finding the Fourth Proportional to 600,409.64, 901,644.78 and 533,093.78

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Solution

The fourth proportional to 600,409.64, 901,644.78 and 533,093.78 is: 800,555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,409.64 : 901,644.78 = 533,093.78 : x
  2. Step 2: Convert to fraction form
    600,409.64/901,644.78 = 533,093.78/x
  3. Step 3: Cross multiply
    600,409.64x = 901,644.78 × 533,093.78
  4. Step 4: Simplify right side
    600,409.64x = 480,661,223,987.47
  5. Step 5: Solve for x
    x = 480,661,223,987.47/600,409.64
  6. Step 6: Final answer
    x = 800,555.47

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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.