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Finding the Fourth Proportional to 508,435.11, 762,199.47 and 193,113.45

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Solution

The fourth proportional to 508,435.11, 762,199.47 and 193,113.45 is: 289,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,435.11 : 762,199.47 = 193,113.45 : x
  2. Step 2: Convert to fraction form
    508,435.11/762,199.47 = 193,113.45/x
  3. Step 3: Cross multiply
    508,435.11x = 762,199.47 × 193,113.45
  4. Step 4: Simplify right side
    508,435.11x = 147,190,969,239.87
  5. Step 5: Solve for x
    x = 147,190,969,239.87/508,435.11
  6. Step 6: Final answer
    x = 289,498.04

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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.