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Finding the Fourth Proportional to 328,542.98, 492,633.72 and 148,416.80

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Solution

The fourth proportional to 328,542.98, 492,633.72 and 148,416.80 is: 222,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,542.98 : 492,633.72 = 148,416.80 : x
  2. Step 2: Convert to fraction form
    328,542.98/492,633.72 = 148,416.80/x
  3. Step 3: Cross multiply
    328,542.98x = 492,633.72 × 148,416.80
  4. Step 4: Simplify right side
    328,542.98x = 73,115,117,831.33
  5. Step 5: Solve for x
    x = 73,115,117,831.33/328,542.98
  6. Step 6: Final answer
    x = 222,543.54

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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.