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Finding the Fourth Proportional to 429,568.11, 644,105.25 and 177,022.95

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Solution

The fourth proportional to 429,568.11, 644,105.25 and 177,022.95 is: 265,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,568.11 : 644,105.25 = 177,022.95 : x
  2. Step 2: Convert to fraction form
    429,568.11/644,105.25 = 177,022.95/x
  3. Step 3: Cross multiply
    429,568.11x = 644,105.25 × 177,022.95
  4. Step 4: Simplify right side
    429,568.11x = 114,021,411,465.49
  5. Step 5: Solve for x
    x = 114,021,411,465.49/429,568.11
  6. Step 6: Final answer
    x = 265,432.67

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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.