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Finding the Fourth Proportional to 536,292.06, 803,213.37 and 256,006.14

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Solution

The fourth proportional to 536,292.06, 803,213.37 and 256,006.14 is: 383,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,292.06 : 803,213.37 = 256,006.14 : x
  2. Step 2: Convert to fraction form
    536,292.06/803,213.37 = 256,006.14/x
  3. Step 3: Cross multiply
    536,292.06x = 803,213.37 × 256,006.14
  4. Step 4: Simplify right side
    536,292.06x = 205,627,554,450.09
  5. Step 5: Solve for x
    x = 205,627,554,450.09/536,292.06
  6. Step 6: Final answer
    x = 383,424.57

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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.