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Finding the Fourth Proportional to 820,185.54, 1,131,854.47 and 457,587.82

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Solution

The fourth proportional to 820,185.54, 1,131,854.47 and 457,587.82 is: 631,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,185.54 : 1,131,854.47 = 457,587.82 : x
  2. Step 2: Convert to fraction form
    820,185.54/1,131,854.47 = 457,587.82/x
  3. Step 3: Cross multiply
    820,185.54x = 1,131,854.47 × 457,587.82
  4. Step 4: Simplify right side
    820,185.54x = 517,922,819,484.56
  5. Step 5: Solve for x
    x = 517,922,819,484.56/820,185.54
  6. Step 6: Final answer
    x = 631,470.31

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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.