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Finding the Fourth Proportional to 290,832.29, 435,802.83 and 195,710.55

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Solution

The fourth proportional to 290,832.29, 435,802.83 and 195,710.55 is: 293,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,832.29 : 435,802.83 = 195,710.55 : x
  2. Step 2: Convert to fraction form
    290,832.29/435,802.83 = 195,710.55/x
  3. Step 3: Cross multiply
    290,832.29x = 435,802.83 × 195,710.55
  4. Step 4: Simplify right side
    290,832.29x = 85,291,211,550.86
  5. Step 5: Solve for x
    x = 85,291,211,550.86/290,832.29
  6. Step 6: Final answer
    x = 293,265.96

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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.