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Finding the Fourth Proportional to 347,709.86, 521,564.80 and 189,852.20

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Solution

The fourth proportional to 347,709.86, 521,564.80 and 189,852.20 is: 284,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,709.86 : 521,564.80 = 189,852.20 : x
  2. Step 2: Convert to fraction form
    347,709.86/521,564.80 = 189,852.20/x
  3. Step 3: Cross multiply
    347,709.86x = 521,564.80 × 189,852.20
  4. Step 4: Simplify right side
    347,709.86x = 99,020,224,722.56
  5. Step 5: Solve for x
    x = 99,020,224,722.56/347,709.86
  6. Step 6: Final answer
    x = 284,778.31

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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.