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Finding the Fourth Proportional to 426,683.70, 589,177.80 and 284,091.30

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Solution

The fourth proportional to 426,683.70, 589,177.80 and 284,091.30 is: 392,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,683.70 : 589,177.80 = 284,091.30 : x
  2. Step 2: Convert to fraction form
    426,683.70/589,177.80 = 284,091.30/x
  3. Step 3: Cross multiply
    426,683.70x = 589,177.80 × 284,091.30
  4. Step 4: Simplify right side
    426,683.70x = 167,380,287,133.14
  5. Step 5: Solve for x
    x = 167,380,287,133.14/426,683.70
  6. Step 6: Final answer
    x = 392,281.89

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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.