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Finding the Fourth Proportional to 407,360.34, 610,894.65 and 141,049.32

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Solution

The fourth proportional to 407,360.34, 610,894.65 and 141,049.32 is: 211,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,360.34 : 610,894.65 = 141,049.32 : x
  2. Step 2: Convert to fraction form
    407,360.34/610,894.65 = 141,049.32/x
  3. Step 3: Cross multiply
    407,360.34x = 610,894.65 × 141,049.32
  4. Step 4: Simplify right side
    407,360.34x = 86,166,274,974.14
  5. Step 5: Solve for x
    x = 86,166,274,974.14/407,360.34
  6. Step 6: Final answer
    x = 211,523.48

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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.