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Finding the Fourth Proportional to 407,005.34, 610,509.38 and 170,181.98

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Solution

The fourth proportional to 407,005.34, 610,509.38 and 170,181.98 is: 255,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,005.34 : 610,509.38 = 170,181.98 : x
  2. Step 2: Convert to fraction form
    407,005.34/610,509.38 = 170,181.98/x
  3. Step 3: Cross multiply
    407,005.34x = 610,509.38 × 170,181.98
  4. Step 4: Simplify right side
    407,005.34x = 103,897,695,096.97
  5. Step 5: Solve for x
    x = 103,897,695,096.97/407,005.34
  6. Step 6: Final answer
    x = 255,273.54

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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.