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Finding the Fourth Proportional to 492,877.68, 680,171.44 and 266,523.16

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Solution

The fourth proportional to 492,877.68, 680,171.44 and 266,523.16 is: 367,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,877.68 : 680,171.44 = 266,523.16 : x
  2. Step 2: Convert to fraction form
    492,877.68/680,171.44 = 266,523.16/x
  3. Step 3: Cross multiply
    492,877.68x = 680,171.44 × 266,523.16
  4. Step 4: Simplify right side
    492,877.68x = 181,281,441,530.55
  5. Step 5: Solve for x
    x = 181,281,441,530.55/492,877.68
  6. Step 6: Final answer
    x = 367,802.09

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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.