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Finding the Fourth Proportional to 420,674.08, 631,012.17 and 167,975.14

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Solution

The fourth proportional to 420,674.08, 631,012.17 and 167,975.14 is: 251,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,674.08 : 631,012.17 = 167,975.14 : x
  2. Step 2: Convert to fraction form
    420,674.08/631,012.17 = 167,975.14/x
  3. Step 3: Cross multiply
    420,674.08x = 631,012.17 × 167,975.14
  4. Step 4: Simplify right side
    420,674.08x = 105,994,357,597.45
  5. Step 5: Solve for x
    x = 105,994,357,597.45/420,674.08
  6. Step 6: Final answer
    x = 251,963.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.