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Finding the Fourth Proportional to 379,678.56, 569,674.98 and 166,336.14

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Solution

The fourth proportional to 379,678.56, 569,674.98 and 166,336.14 is: 249,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,678.56 : 569,674.98 = 166,336.14 : x
  2. Step 2: Convert to fraction form
    379,678.56/569,674.98 = 166,336.14/x
  3. Step 3: Cross multiply
    379,678.56x = 569,674.98 × 166,336.14
  4. Step 4: Simplify right side
    379,678.56x = 94,757,537,227.78
  5. Step 5: Solve for x
    x = 94,757,537,227.78/379,678.56
  6. Step 6: Final answer
    x = 249,573.05

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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.