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Finding the Fourth Proportional to 415,340.40, 623,010.60 and 411,403.80

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Solution

The fourth proportional to 415,340.40, 623,010.60 and 411,403.80 is: 617,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,340.40 : 623,010.60 = 411,403.80 : x
  2. Step 2: Convert to fraction form
    415,340.40/623,010.60 = 411,403.80/x
  3. Step 3: Cross multiply
    415,340.40x = 623,010.60 × 411,403.80
  4. Step 4: Simplify right side
    415,340.40x = 256,308,928,280.28
  5. Step 5: Solve for x
    x = 256,308,928,280.28/415,340.40
  6. Step 6: Final answer
    x = 617,105.70

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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.