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Finding the Fourth Proportional to 823,032.45, 1,153,032.75 and 823,032.45

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Solution

The fourth proportional to 823,032.45, 1,153,032.75 and 823,032.45 is: 1,153,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,032.45 : 1,153,032.75 = 823,032.45 : x
  2. Step 2: Convert to fraction form
    823,032.45/1,153,032.75 = 823,032.45/x
  3. Step 3: Cross multiply
    823,032.45x = 1,153,032.75 × 823,032.45
  4. Step 4: Simplify right side
    823,032.45x = 948,983,369,162.74
  5. Step 5: Solve for x
    x = 948,983,369,162.74/823,032.45
  6. Step 6: Final answer
    x = 1,153,032.75

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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.