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Finding the Fourth Proportional to 475,447.52, 712,908.84 and 195,161.60

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Solution

The fourth proportional to 475,447.52, 712,908.84 and 195,161.60 is: 292,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,447.52 : 712,908.84 = 195,161.60 : x
  2. Step 2: Convert to fraction form
    475,447.52/712,908.84 = 195,161.60/x
  3. Step 3: Cross multiply
    475,447.52x = 712,908.84 × 195,161.60
  4. Step 4: Simplify right side
    475,447.52x = 139,132,428,892.74
  5. Step 5: Solve for x
    x = 139,132,428,892.74/475,447.52
  6. Step 6: Final answer
    x = 292,634.67

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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.