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Finding the Fourth Proportional to 379,484.56, 523,668.54 and 209,708.56

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Solution

The fourth proportional to 379,484.56, 523,668.54 and 209,708.56 is: 289,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,484.56 : 523,668.54 = 209,708.56 : x
  2. Step 2: Convert to fraction form
    379,484.56/523,668.54 = 209,708.56/x
  3. Step 3: Cross multiply
    379,484.56x = 523,668.54 × 209,708.56
  4. Step 4: Simplify right side
    379,484.56x = 109,817,775,440.70
  5. Step 5: Solve for x
    x = 109,817,775,440.70/379,484.56
  6. Step 6: Final answer
    x = 289,386.68

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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.