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Finding the Fourth Proportional to 595,829.20, 891,670.20 and 409,205.20

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Solution

The fourth proportional to 595,829.20, 891,670.20 and 409,205.20 is: 612,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,829.20 : 891,670.20 = 409,205.20 : x
  2. Step 2: Convert to fraction form
    595,829.20/891,670.20 = 409,205.20/x
  3. Step 3: Cross multiply
    595,829.20x = 891,670.20 × 409,205.20
  4. Step 4: Simplify right side
    595,829.20x = 364,876,082,525.04
  5. Step 5: Solve for x
    x = 364,876,082,525.04/595,829.20
  6. Step 6: Final answer
    x = 612,383.69

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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.