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Finding the Fourth Proportional to 406,813.16, 561,665.67 and 261,683.84

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Solution

The fourth proportional to 406,813.16, 561,665.67 and 261,683.84 is: 361,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,813.16 : 561,665.67 = 261,683.84 : x
  2. Step 2: Convert to fraction form
    406,813.16/561,665.67 = 261,683.84/x
  3. Step 3: Cross multiply
    406,813.16x = 561,665.67 × 261,683.84
  4. Step 4: Simplify right side
    406,813.16x = 146,978,829,321.77
  5. Step 5: Solve for x
    x = 146,978,829,321.77/406,813.16
  6. Step 6: Final answer
    x = 361,293.20

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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.