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Finding the Fourth Proportional to 492,783.49, 680,042.20 and 266,428.99

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Solution

The fourth proportional to 492,783.49, 680,042.20 and 266,428.99 is: 367,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,783.49 : 680,042.20 = 266,428.99 : x
  2. Step 2: Convert to fraction form
    492,783.49/680,042.20 = 266,428.99/x
  3. Step 3: Cross multiply
    492,783.49x = 680,042.20 × 266,428.99
  4. Step 4: Simplify right side
    492,783.49x = 181,182,956,503.38
  5. Step 5: Solve for x
    x = 181,182,956,503.38/492,783.49
  6. Step 6: Final answer
    x = 367,672.54

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Why These Related Problems?

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