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Finding the Fourth Proportional to 420,783.71, 580,505.36 and 257,316.40

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Solution

The fourth proportional to 420,783.71, 580,505.36 and 257,316.40 is: 354,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,783.71 : 580,505.36 = 257,316.40 : x
  2. Step 2: Convert to fraction form
    420,783.71/580,505.36 = 257,316.40/x
  3. Step 3: Cross multiply
    420,783.71x = 580,505.36 × 257,316.40
  4. Step 4: Simplify right side
    420,783.71x = 149,373,546,313.31
  5. Step 5: Solve for x
    x = 149,373,546,313.31/420,783.71
  6. Step 6: Final answer
    x = 354,988.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.