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Finding the Fourth Proportional to 382,313.80, 572,682.30 and 224,062.60

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Solution

The fourth proportional to 382,313.80, 572,682.30 and 224,062.60 is: 335,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,313.80 : 572,682.30 = 224,062.60 : x
  2. Step 2: Convert to fraction form
    382,313.80/572,682.30 = 224,062.60/x
  3. Step 3: Cross multiply
    382,313.80x = 572,682.30 × 224,062.60
  4. Step 4: Simplify right side
    382,313.80x = 128,316,685,111.98
  5. Step 5: Solve for x
    x = 128,316,685,111.98/382,313.80
  6. Step 6: Final answer
    x = 335,631.84

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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.