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Finding the Fourth Proportional to 569,274, 853,812.04 and 214,290.76

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Solution

The fourth proportional to 569,274, 853,812.04 and 214,290.76 is: 321,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,274 : 853,812.04 = 214,290.76 : x
  2. Step 2: Convert to fraction form
    569,274/853,812.04 = 214,290.76/x
  3. Step 3: Cross multiply
    569,274x = 853,812.04 × 214,290.76
  4. Step 4: Simplify right side
    569,274x = 182,964,030,948.75
  5. Step 5: Solve for x
    x = 182,964,030,948.75/569,274
  6. Step 6: Final answer
    x = 321,398.89

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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.