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Finding the Fourth Proportional to 546,758.10, 821,121.30 and 397,167.30

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Solution

The fourth proportional to 546,758.10, 821,121.30 and 397,167.30 is: 596,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,758.10 : 821,121.30 = 397,167.30 : x
  2. Step 2: Convert to fraction form
    546,758.10/821,121.30 = 397,167.30/x
  3. Step 3: Cross multiply
    546,758.10x = 821,121.30 × 397,167.30
  4. Step 4: Simplify right side
    546,758.10x = 326,122,529,693.49
  5. Step 5: Solve for x
    x = 326,122,529,693.49/546,758.10
  6. Step 6: Final answer
    x = 596,465.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.