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Finding the Fourth Proportional to 280,588.86, 387,089.33 and 171,698.38

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Solution

The fourth proportional to 280,588.86, 387,089.33 and 171,698.38 is: 236,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,588.86 : 387,089.33 = 171,698.38 : x
  2. Step 2: Convert to fraction form
    280,588.86/387,089.33 = 171,698.38/x
  3. Step 3: Cross multiply
    280,588.86x = 387,089.33 × 171,698.38
  4. Step 4: Simplify right side
    280,588.86x = 66,462,612,193.25
  5. Step 5: Solve for x
    x = 66,462,612,193.25/280,588.86
  6. Step 6: Final answer
    x = 236,868.32

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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.