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Finding the Fourth Proportional to 569,143.74, 853,749.02 and 214,160.83

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Solution

The fourth proportional to 569,143.74, 853,749.02 and 214,160.83 is: 321,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,143.74 : 853,749.02 = 214,160.83 : x
  2. Step 2: Convert to fraction form
    569,143.74/853,749.02 = 214,160.83/x
  3. Step 3: Cross multiply
    569,143.74x = 853,749.02 × 214,160.83
  4. Step 4: Simplify right side
    569,143.74x = 182,839,598,734.89
  5. Step 5: Solve for x
    x = 182,839,598,734.89/569,143.74
  6. Step 6: Final answer
    x = 321,253.82

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1.5x scale

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.