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Finding the Fourth Proportional to 282,702.02, 389,812.11 and 264,765.88

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Solution

The fourth proportional to 282,702.02, 389,812.11 and 264,765.88 is: 365,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,702.02 : 389,812.11 = 264,765.88 : x
  2. Step 2: Convert to fraction form
    282,702.02/389,812.11 = 264,765.88/x
  3. Step 3: Cross multiply
    282,702.02x = 389,812.11 × 264,765.88
  4. Step 4: Simplify right side
    282,702.02x = 103,208,945,833.20
  5. Step 5: Solve for x
    x = 103,208,945,833.20/282,702.02
  6. Step 6: Final answer
    x = 365,080.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.