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Finding the Fourth Proportional to 509,012.20, 763,323.90 and 153,908.20

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Solution

The fourth proportional to 509,012.20, 763,323.90 and 153,908.20 is: 230,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,012.20 : 763,323.90 = 153,908.20 : x
  2. Step 2: Convert to fraction form
    509,012.20/763,323.90 = 153,908.20/x
  3. Step 3: Cross multiply
    509,012.20x = 763,323.90 × 153,908.20
  4. Step 4: Simplify right side
    509,012.20x = 117,481,807,465.98
  5. Step 5: Solve for x
    x = 117,481,807,465.98/509,012.20
  6. Step 6: Final answer
    x = 230,803.52

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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.