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Finding the Fourth Proportional to 522,075.17, 782,891.33 and 185,200.63

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Solution

The fourth proportional to 522,075.17, 782,891.33 and 185,200.63 is: 277,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,075.17 : 782,891.33 = 185,200.63 : x
  2. Step 2: Convert to fraction form
    522,075.17/782,891.33 = 185,200.63/x
  3. Step 3: Cross multiply
    522,075.17x = 782,891.33 × 185,200.63
  4. Step 4: Simplify right side
    522,075.17x = 144,991,964,654.31
  5. Step 5: Solve for x
    x = 144,991,964,654.31/522,075.17
  6. Step 6: Final answer
    x = 277,722.39

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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.