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Finding the Fourth Proportional to 509,259.05, 766,935.21 and 463,858.98

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Solution

The fourth proportional to 509,259.05, 766,935.21 and 463,858.98 is: 698,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,259.05 : 766,935.21 = 463,858.98 : x
  2. Step 2: Convert to fraction form
    509,259.05/766,935.21 = 463,858.98/x
  3. Step 3: Cross multiply
    509,259.05x = 766,935.21 × 463,858.98
  4. Step 4: Simplify right side
    509,259.05x = 355,749,782,497.22
  5. Step 5: Solve for x
    x = 355,749,782,497.22/509,259.05
  6. Step 6: Final answer
    x = 698,563.49

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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.