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Finding the Fourth Proportional to 411,985.20, 618,438.60 and 384,913.20

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Solution

The fourth proportional to 411,985.20, 618,438.60 and 384,913.20 is: 577,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,985.20 : 618,438.60 = 384,913.20 : x
  2. Step 2: Convert to fraction form
    411,985.20/618,438.60 = 384,913.20/x
  3. Step 3: Cross multiply
    411,985.20x = 618,438.60 × 384,913.20
  4. Step 4: Simplify right side
    411,985.20x = 238,045,180,529.52
  5. Step 5: Solve for x
    x = 238,045,180,529.52/411,985.20
  6. Step 6: Final answer
    x = 577,800.32

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