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Finding the Fourth Proportional to 354,276.38, 531,364.66 and 101,578.46

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Solution

The fourth proportional to 354,276.38, 531,364.66 and 101,578.46 is: 152,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,276.38 : 531,364.66 = 101,578.46 : x
  2. Step 2: Convert to fraction form
    354,276.38/531,364.66 = 101,578.46/x
  3. Step 3: Cross multiply
    354,276.38x = 531,364.66 × 101,578.46
  4. Step 4: Simplify right side
    354,276.38x = 53,975,200,950.45
  5. Step 5: Solve for x
    x = 53,975,200,950.45/354,276.38
  6. Step 6: Final answer
    x = 152,353.37

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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.