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Finding the Fourth Proportional to 475,618.60, 713,427.90 and 194,991.40

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Solution

The fourth proportional to 475,618.60, 713,427.90 and 194,991.40 is: 292,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,618.60 : 713,427.90 = 194,991.40 : x
  2. Step 2: Convert to fraction form
    475,618.60/713,427.90 = 194,991.40/x
  3. Step 3: Cross multiply
    475,618.60x = 713,427.90 × 194,991.40
  4. Step 4: Simplify right side
    475,618.60x = 139,112,305,020.06
  5. Step 5: Solve for x
    x = 139,112,305,020.06/475,618.60
  6. Step 6: Final answer
    x = 292,487.10

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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.