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Finding the Fourth Proportional to 508,455.42, 762,384.09 and 192,934.50

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Solution

The fourth proportional to 508,455.42, 762,384.09 and 192,934.50 is: 289,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,455.42 : 762,384.09 = 192,934.50 : x
  2. Step 2: Convert to fraction form
    508,455.42/762,384.09 = 192,934.50/x
  3. Step 3: Cross multiply
    508,455.42x = 762,384.09 × 192,934.50
  4. Step 4: Simplify right side
    508,455.42x = 147,090,193,212.11
  5. Step 5: Solve for x
    x = 147,090,193,212.11/508,455.42
  6. Step 6: Final answer
    x = 289,288.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.