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Finding the Fourth Proportional to 782,498.10, 1,097,859.30 and 782,498.10

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Solution

The fourth proportional to 782,498.10, 1,097,859.30 and 782,498.10 is: 1,097,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,498.10 : 1,097,859.30 = 782,498.10 : x
  2. Step 2: Convert to fraction form
    782,498.10/1,097,859.30 = 782,498.10/x
  3. Step 3: Cross multiply
    782,498.10x = 1,097,859.30 × 782,498.10
  4. Step 4: Simplify right side
    782,498.10x = 859,072,816,317.33
  5. Step 5: Solve for x
    x = 859,072,816,317.33/782,498.10
  6. Step 6: Final answer
    x = 1,097,859.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.