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Finding the Fourth Proportional to 282,652.72, 423,978.09 and 268,462.36

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Solution

The fourth proportional to 282,652.72, 423,978.09 and 268,462.36 is: 402,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,652.72 : 423,978.09 = 268,462.36 : x
  2. Step 2: Convert to fraction form
    282,652.72/423,978.09 = 268,462.36/x
  3. Step 3: Cross multiply
    282,652.72x = 423,978.09 × 268,462.36
  4. Step 4: Simplify right side
    282,652.72x = 113,822,158,629.69
  5. Step 5: Solve for x
    x = 113,822,158,629.69/282,652.72
  6. Step 6: Final answer
    x = 402,692.60

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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.