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Finding the Fourth Proportional to 364,318, 546,513.46 and 111,595.57

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Solution

The fourth proportional to 364,318, 546,513.46 and 111,595.57 is: 167,404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,318 : 546,513.46 = 111,595.57 : x
  2. Step 2: Convert to fraction form
    364,318/546,513.46 = 111,595.57/x
  3. Step 3: Cross multiply
    364,318x = 546,513.46 × 111,595.57
  4. Step 4: Simplify right side
    364,318x = 60,988,481,081.37
  5. Step 5: Solve for x
    x = 60,988,481,081.37/364,318
  6. Step 6: Final answer
    x = 167,404.52

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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.