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Finding the Fourth Proportional to 1,164,879.82, 1,747,740.24 and 406,832.92

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Solution

The fourth proportional to 1,164,879.82, 1,747,740.24 and 406,832.92 is: 610,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,879.82 : 1,747,740.24 = 406,832.92 : x
  2. Step 2: Convert to fraction form
    1,164,879.82/1,747,740.24 = 406,832.92/x
  3. Step 3: Cross multiply
    1,164,879.82x = 1,747,740.24 × 406,832.92
  4. Step 4: Simplify right side
    1,164,879.82x = 711,038,265,240.70
  5. Step 5: Solve for x
    x = 711,038,265,240.70/1,164,879.82
  6. Step 6: Final answer
    x = 610,396.24

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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.