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Finding the Fourth Proportional to 455,971.60, 683,996.28 and 119,056.96

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Solution

The fourth proportional to 455,971.60, 683,996.28 and 119,056.96 is: 178,595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,971.60 : 683,996.28 = 119,056.96 : x
  2. Step 2: Convert to fraction form
    455,971.60/683,996.28 = 119,056.96/x
  3. Step 3: Cross multiply
    455,971.60x = 683,996.28 × 119,056.96
  4. Step 4: Simplify right side
    455,971.60x = 81,434,517,748.11
  5. Step 5: Solve for x
    x = 81,434,517,748.11/455,971.60
  6. Step 6: Final answer
    x = 178,595.59

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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.