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Finding the Fourth Proportional to 728,783.57, 1,005,718.72 and 406,493.42

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Solution

The fourth proportional to 728,783.57, 1,005,718.72 and 406,493.42 is: 560,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,783.57 : 1,005,718.72 = 406,493.42 : x
  2. Step 2: Convert to fraction form
    728,783.57/1,005,718.72 = 406,493.42/x
  3. Step 3: Cross multiply
    728,783.57x = 1,005,718.72 × 406,493.42
  4. Step 4: Simplify right side
    728,783.57x = 408,818,040,018.36
  5. Step 5: Solve for x
    x = 408,818,040,018.36/728,783.57
  6. Step 6: Final answer
    x = 560,959.46

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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.