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Finding the Fourth Proportional to 589,596.45, 813,676.50 and 446,107.38

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Solution

The fourth proportional to 589,596.45, 813,676.50 and 446,107.38 is: 615,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,596.45 : 813,676.50 = 446,107.38 : x
  2. Step 2: Convert to fraction form
    589,596.45/813,676.50 = 446,107.38/x
  3. Step 3: Cross multiply
    589,596.45x = 813,676.50 × 446,107.38
  4. Step 4: Simplify right side
    589,596.45x = 362,987,091,582.57
  5. Step 5: Solve for x
    x = 362,987,091,582.57/589,596.45
  6. Step 6: Final answer
    x = 615,653.46

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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.