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Finding the Fourth Proportional to 509,259.56, 766,935.96 and 463,859.48

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Solution

The fourth proportional to 509,259.56, 766,935.96 and 463,859.48 is: 698,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,259.56 : 766,935.96 = 463,859.48 : x
  2. Step 2: Convert to fraction form
    509,259.56/766,935.96 = 463,859.48/x
  3. Step 3: Cross multiply
    509,259.56x = 766,935.96 × 463,859.48
  4. Step 4: Simplify right side
    509,259.56x = 355,750,515,598.90
  5. Step 5: Solve for x
    x = 355,750,515,598.90/509,259.56
  6. Step 6: Final answer
    x = 698,564.24

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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.