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Finding the Fourth Proportional to 348,004.80, 522,079.20 and 198,316.80

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Solution

The fourth proportional to 348,004.80, 522,079.20 and 198,316.80 is: 297,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,004.80 : 522,079.20 = 198,316.80 : x
  2. Step 2: Convert to fraction form
    348,004.80/522,079.20 = 198,316.80/x
  3. Step 3: Cross multiply
    348,004.80x = 522,079.20 × 198,316.80
  4. Step 4: Simplify right side
    348,004.80x = 103,537,076,290.56
  5. Step 5: Solve for x
    x = 103,537,076,290.56/348,004.80
  6. Step 6: Final answer
    x = 297,516.23

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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.