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Finding the Fourth Proportional to 729,006.24, 1,006,029.24 and 406,716.40

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Solution

The fourth proportional to 729,006.24, 1,006,029.24 and 406,716.40 is: 561,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,006.24 : 1,006,029.24 = 406,716.40 : x
  2. Step 2: Convert to fraction form
    729,006.24/1,006,029.24 = 406,716.40/x
  3. Step 3: Cross multiply
    729,006.24x = 1,006,029.24 × 406,716.40
  4. Step 4: Simplify right side
    729,006.24x = 409,168,590,787.54
  5. Step 5: Solve for x
    x = 409,168,590,787.54/729,006.24
  6. Step 6: Final answer
    x = 561,268.98

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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.