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Finding the Fourth Proportional to 728,768.02, 1,005,701.63 and 406,498.99

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Solution

The fourth proportional to 728,768.02, 1,005,701.63 and 406,498.99 is: 560,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,768.02 : 1,005,701.63 = 406,498.99 : x
  2. Step 2: Convert to fraction form
    728,768.02/1,005,701.63 = 406,498.99/x
  3. Step 3: Cross multiply
    728,768.02x = 1,005,701.63 × 406,498.99
  4. Step 4: Simplify right side
    728,768.02x = 408,816,696,836.35
  5. Step 5: Solve for x
    x = 408,816,696,836.35/728,768.02
  6. Step 6: Final answer
    x = 560,969.59

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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.