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Finding the Fourth Proportional to 729,997.76, 1,007,297.39 and 407,666.77

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Solution

The fourth proportional to 729,997.76, 1,007,297.39 and 407,666.77 is: 562,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,997.76 : 1,007,297.39 = 407,666.77 : x
  2. Step 2: Convert to fraction form
    729,997.76/1,007,297.39 = 407,666.77/x
  3. Step 3: Cross multiply
    729,997.76x = 1,007,297.39 × 407,666.77
  4. Step 4: Simplify right side
    729,997.76x = 410,641,671,911.65
  5. Step 5: Solve for x
    x = 410,641,671,911.65/729,997.76
  6. Step 6: Final answer
    x = 562,524.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.