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Finding the Fourth Proportional to 508,455.90, 762,384.82 and 192,934.98

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Solution

The fourth proportional to 508,455.90, 762,384.82 and 192,934.98 is: 289,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,455.90 : 762,384.82 = 192,934.98 : x
  2. Step 2: Convert to fraction form
    508,455.90/762,384.82 = 192,934.98/x
  3. Step 3: Cross multiply
    508,455.90x = 762,384.82 × 192,934.98
  4. Step 4: Simplify right side
    508,455.90x = 147,090,699,999.00
  5. Step 5: Solve for x
    x = 147,090,699,999.00/508,455.90
  6. Step 6: Final answer
    x = 289,289.00

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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.