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Finding the Fourth Proportional to 729,244.44, 1,006,407.72 and 407,017.44

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Solution

The fourth proportional to 729,244.44, 1,006,407.72 and 407,017.44 is: 561,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,244.44 : 1,006,407.72 = 407,017.44 : x
  2. Step 2: Convert to fraction form
    729,244.44/1,006,407.72 = 407,017.44/x
  3. Step 3: Cross multiply
    729,244.44x = 1,006,407.72 × 407,017.44
  4. Step 4: Simplify right side
    729,244.44x = 409,625,493,790.64
  5. Step 5: Solve for x
    x = 409,625,493,790.64/729,244.44
  6. Step 6: Final answer
    x = 561,712.19

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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.