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Finding the Fourth Proportional to 407,924.17, 611,676.16 and 183,091.86

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Solution

The fourth proportional to 407,924.17, 611,676.16 and 183,091.86 is: 274,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,924.17 : 611,676.16 = 183,091.86 : x
  2. Step 2: Convert to fraction form
    407,924.17/611,676.16 = 183,091.86/x
  3. Step 3: Cross multiply
    407,924.17x = 611,676.16 × 183,091.86
  4. Step 4: Simplify right side
    407,924.17x = 111,992,925,394.33
  5. Step 5: Solve for x
    x = 111,992,925,394.33/407,924.17
  6. Step 6: Final answer
    x = 274,543.49

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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.