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Finding the Fourth Proportional to 410,075.63, 615,387.99 and 170,189.73

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Solution

The fourth proportional to 410,075.63, 615,387.99 and 170,189.73 is: 255,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,075.63 : 615,387.99 = 170,189.73 : x
  2. Step 2: Convert to fraction form
    410,075.63/615,387.99 = 170,189.73/x
  3. Step 3: Cross multiply
    410,075.63x = 615,387.99 × 170,189.73
  4. Step 4: Simplify right side
    410,075.63x = 104,732,715,863.34
  5. Step 5: Solve for x
    x = 104,732,715,863.34/410,075.63
  6. Step 6: Final answer
    x = 255,398.54

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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.