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Finding the Fourth Proportional to 415,905.60, 623,858.40 and 317,601.60

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Solution

The fourth proportional to 415,905.60, 623,858.40 and 317,601.60 is: 476,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,905.60 : 623,858.40 = 317,601.60 : x
  2. Step 2: Convert to fraction form
    415,905.60/623,858.40 = 317,601.60/x
  3. Step 3: Cross multiply
    415,905.60x = 623,858.40 × 317,601.60
  4. Step 4: Simplify right side
    415,905.60x = 198,138,426,013.44
  5. Step 5: Solve for x
    x = 198,138,426,013.44/415,905.60
  6. Step 6: Final answer
    x = 476,402.40

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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.