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Finding the Fourth Proportional to 379,374.44, 569,123.10 and 116,657

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Solution

The fourth proportional to 379,374.44, 569,123.10 and 116,657 is: 175,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,374.44 : 569,123.10 = 116,657 : x
  2. Step 2: Convert to fraction form
    379,374.44/569,123.10 = 116,657/x
  3. Step 3: Cross multiply
    379,374.44x = 569,123.10 × 116,657
  4. Step 4: Simplify right side
    379,374.44x = 66,392,193,476.70
  5. Step 5: Solve for x
    x = 66,392,193,476.70/379,374.44
  6. Step 6: Final answer
    x = 175,004.39

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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.