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Finding the Fourth Proportional to 496,801.80, 685,567.26 and 281,929.08

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Solution

The fourth proportional to 496,801.80, 685,567.26 and 281,929.08 is: 389,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,801.80 : 685,567.26 = 281,929.08 : x
  2. Step 2: Convert to fraction form
    496,801.80/685,567.26 = 281,929.08/x
  3. Step 3: Cross multiply
    496,801.80x = 685,567.26 × 281,929.08
  4. Step 4: Simplify right side
    496,801.80x = 193,281,346,889.92
  5. Step 5: Solve for x
    x = 193,281,346,889.92/496,801.80
  6. Step 6: Final answer
    x = 389,051.22

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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.