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Finding the Fourth Proportional to 509,262.06, 766,939.73 and 463,861.98

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Solution

The fourth proportional to 509,262.06, 766,939.73 and 463,861.98 is: 698,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,262.06 : 766,939.73 = 463,861.98 : x
  2. Step 2: Convert to fraction form
    509,262.06/766,939.73 = 463,861.98/x
  3. Step 3: Cross multiply
    509,262.06x = 766,939.73 × 463,861.98
  4. Step 4: Simplify right side
    509,262.06x = 355,754,179,379.16
  5. Step 5: Solve for x
    x = 355,754,179,379.16/509,262.06
  6. Step 6: Final answer
    x = 698,568.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.