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Finding the Fourth Proportional to 590,285.77, 814,590.61 and 335,636.96

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Solution

The fourth proportional to 590,285.77, 814,590.61 and 335,636.96 is: 463,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,285.77 : 814,590.61 = 335,636.96 : x
  2. Step 2: Convert to fraction form
    590,285.77/814,590.61 = 335,636.96/x
  3. Step 3: Cross multiply
    590,285.77x = 814,590.61 × 335,636.96
  4. Step 4: Simplify right side
    590,285.77x = 273,406,711,072.90
  5. Step 5: Solve for x
    x = 273,406,711,072.90/590,285.77
  6. Step 6: Final answer
    x = 463,176.86

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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.