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Finding the Fourth Proportional to 596,191.78, 822,958.66 and 354,473.77

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Solution

The fourth proportional to 596,191.78, 822,958.66 and 354,473.77 is: 489,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,191.78 : 822,958.66 = 354,473.77 : x
  2. Step 2: Convert to fraction form
    596,191.78/822,958.66 = 354,473.77/x
  3. Step 3: Cross multiply
    596,191.78x = 822,958.66 × 354,473.77
  4. Step 4: Simplify right side
    596,191.78x = 291,717,260,236.14
  5. Step 5: Solve for x
    x = 291,717,260,236.14/596,191.78
  6. Step 6: Final answer
    x = 489,301.05

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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.