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Finding the Fourth Proportional to 367,056.51, 506,554.68 and 214,097.73

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Solution

The fourth proportional to 367,056.51, 506,554.68 and 214,097.73 is: 295,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,056.51 : 506,554.68 = 214,097.73 : x
  2. Step 2: Convert to fraction form
    367,056.51/506,554.68 = 214,097.73/x
  3. Step 3: Cross multiply
    367,056.51x = 506,554.68 × 214,097.73
  4. Step 4: Simplify right side
    367,056.51x = 108,452,207,108.88
  5. Step 5: Solve for x
    x = 108,452,207,108.88/367,056.51
  6. Step 6: Final answer
    x = 295,464.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.