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Finding the Fourth Proportional to 383,070.01, 574,205.73 and 214,342.96

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Solution

The fourth proportional to 383,070.01, 574,205.73 and 214,342.96 is: 321,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,070.01 : 574,205.73 = 214,342.96 : x
  2. Step 2: Convert to fraction form
    383,070.01/574,205.73 = 214,342.96/x
  3. Step 3: Cross multiply
    383,070.01x = 574,205.73 × 214,342.96
  4. Step 4: Simplify right side
    383,070.01x = 123,076,955,817.16
  5. Step 5: Solve for x
    x = 123,076,955,817.16/383,070.01
  6. Step 6: Final answer
    x = 321,291.02

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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.