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Finding the Fourth Proportional to 591,796.47, 816,728.90 and 362,352.63

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Solution

The fourth proportional to 591,796.47, 816,728.90 and 362,352.63 is: 500,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,796.47 : 816,728.90 = 362,352.63 : x
  2. Step 2: Convert to fraction form
    591,796.47/816,728.90 = 362,352.63/x
  3. Step 3: Cross multiply
    591,796.47x = 816,728.90 × 362,352.63
  4. Step 4: Simplify right side
    591,796.47x = 295,943,863,100.24
  5. Step 5: Solve for x
    x = 295,943,863,100.24/591,796.47
  6. Step 6: Final answer
    x = 500,077.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.