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Finding the Fourth Proportional to 556,408.60, 834,678.24 and 177,196.57

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Solution

The fourth proportional to 556,408.60, 834,678.24 and 177,196.57 is: 265,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,408.60 : 834,678.24 = 177,196.57 : x
  2. Step 2: Convert to fraction form
    556,408.60/834,678.24 = 177,196.57/x
  3. Step 3: Cross multiply
    556,408.60x = 834,678.24 × 177,196.57
  4. Step 4: Simplify right side
    556,408.60x = 147,902,121,181.64
  5. Step 5: Solve for x
    x = 147,902,121,181.64/556,408.60
  6. Step 6: Final answer
    x = 265,815.66

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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.