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Finding the Fourth Proportional to 354,041.61, 488,571.27 and 192,897.84

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Solution

The fourth proportional to 354,041.61, 488,571.27 and 192,897.84 is: 266,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,041.61 : 488,571.27 = 192,897.84 : x
  2. Step 2: Convert to fraction form
    354,041.61/488,571.27 = 192,897.84/x
  3. Step 3: Cross multiply
    354,041.61x = 488,571.27 × 192,897.84
  4. Step 4: Simplify right side
    354,041.61x = 94,244,342,669.06
  5. Step 5: Solve for x
    x = 94,244,342,669.06/354,041.61
  6. Step 6: Final answer
    x = 266,195.67

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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.