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Finding the Fourth Proportional to 407,483.12, 611,086.23 and 141,181.47

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Solution

The fourth proportional to 407,483.12, 611,086.23 and 141,181.47 is: 211,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,483.12 : 611,086.23 = 141,181.47 : x
  2. Step 2: Convert to fraction form
    407,483.12/611,086.23 = 141,181.47/x
  3. Step 3: Cross multiply
    407,483.12x = 611,086.23 × 141,181.47
  4. Step 4: Simplify right side
    407,483.12x = 86,274,052,248.16
  5. Step 5: Solve for x
    x = 86,274,052,248.16/407,483.12
  6. Step 6: Final answer
    x = 211,724.23

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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.