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Finding the Fourth Proportional to 411,421.80, 617,132.70 and 298,572.60

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Solution

The fourth proportional to 411,421.80, 617,132.70 and 298,572.60 is: 447,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,421.80 : 617,132.70 = 298,572.60 : x
  2. Step 2: Convert to fraction form
    411,421.80/617,132.70 = 298,572.60/x
  3. Step 3: Cross multiply
    411,421.80x = 617,132.70 × 298,572.60
  4. Step 4: Simplify right side
    411,421.80x = 184,258,914,784.02
  5. Step 5: Solve for x
    x = 184,258,914,784.02/411,421.80
  6. Step 6: Final answer
    x = 447,858.90

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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.