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Finding the Fourth Proportional to 461,747.70, 692,621.55 and 411,981.30

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Solution

The fourth proportional to 461,747.70, 692,621.55 and 411,981.30 is: 617,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,747.70 : 692,621.55 = 411,981.30 : x
  2. Step 2: Convert to fraction form
    461,747.70/692,621.55 = 411,981.30/x
  3. Step 3: Cross multiply
    461,747.70x = 692,621.55 × 411,981.30
  4. Step 4: Simplify right side
    461,747.70x = 285,347,126,577.02
  5. Step 5: Solve for x
    x = 285,347,126,577.02/461,747.70
  6. Step 6: Final answer
    x = 617,971.95

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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.