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Finding the Fourth Proportional to 591,596.80, 816,419.84 and 362,149.36

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Solution

The fourth proportional to 591,596.80, 816,419.84 and 362,149.36 is: 499,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,596.80 : 816,419.84 = 362,149.36 : x
  2. Step 2: Convert to fraction form
    591,596.80/816,419.84 = 362,149.36/x
  3. Step 3: Cross multiply
    591,596.80x = 816,419.84 × 362,149.36
  4. Step 4: Simplify right side
    591,596.80x = 295,665,922,547.30
  5. Step 5: Solve for x
    x = 295,665,922,547.30/591,596.80
  6. Step 6: Final answer
    x = 499,776.07

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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.