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Finding the Fourth Proportional to 565,484.44, 780,550.38 and 362,083.12

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Solution

The fourth proportional to 565,484.44, 780,550.38 and 362,083.12 is: 499,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,484.44 : 780,550.38 = 362,083.12 : x
  2. Step 2: Convert to fraction form
    565,484.44/780,550.38 = 362,083.12/x
  3. Step 3: Cross multiply
    565,484.44x = 780,550.38 × 362,083.12
  4. Step 4: Simplify right side
    565,484.44x = 282,624,116,907.59
  5. Step 5: Solve for x
    x = 282,624,116,907.59/565,484.44
  6. Step 6: Final answer
    x = 499,791.15

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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.