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Finding the Fourth Proportional to 509,640, 764,429.76 and 154,656.96

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Solution

The fourth proportional to 509,640, 764,429.76 and 154,656.96 is: 231,976.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,640 : 764,429.76 = 154,656.96 : x
  2. Step 2: Convert to fraction form
    509,640/764,429.76 = 154,656.96/x
  3. Step 3: Cross multiply
    509,640x = 764,429.76 × 154,656.96
  4. Step 4: Simplify right side
    509,640x = 118,224,382,815.13
  5. Step 5: Solve for x
    x = 118,224,382,815.13/509,640
  6. Step 6: Final answer
    x = 231,976.26

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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.