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Finding the Fourth Proportional to 379,270.98, 523,349.37 and 209,494.98

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Solution

The fourth proportional to 379,270.98, 523,349.37 and 209,494.98 is: 289,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,270.98 : 523,349.37 = 209,494.98 : x
  2. Step 2: Convert to fraction form
    379,270.98/523,349.37 = 209,494.98/x
  3. Step 3: Cross multiply
    379,270.98x = 523,349.37 × 209,494.98
  4. Step 4: Simplify right side
    379,270.98x = 109,639,065,801.16
  5. Step 5: Solve for x
    x = 109,639,065,801.16/379,270.98
  6. Step 6: Final answer
    x = 289,078.45

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1.5x scale

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.