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Finding the Fourth Proportional to 382,702.96, 573,768.48 and 264,035.68

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Solution

The fourth proportional to 382,702.96, 573,768.48 and 264,035.68 is: 395,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,702.96 : 573,768.48 = 264,035.68 : x
  2. Step 2: Convert to fraction form
    382,702.96/573,768.48 = 264,035.68/x
  3. Step 3: Cross multiply
    382,702.96x = 573,768.48 × 264,035.68
  4. Step 4: Simplify right side
    382,702.96x = 151,495,350,779.37
  5. Step 5: Solve for x
    x = 151,495,350,779.37/382,702.96
  6. Step 6: Final answer
    x = 395,856.23

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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.