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Finding the Fourth Proportional to 282,261.12, 389,459.52 and 162,960

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Solution

The fourth proportional to 282,261.12, 389,459.52 and 162,960 is: 224,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,261.12 : 389,459.52 = 162,960 : x
  2. Step 2: Convert to fraction form
    282,261.12/389,459.52 = 162,960/x
  3. Step 3: Cross multiply
    282,261.12x = 389,459.52 × 162,960
  4. Step 4: Simplify right side
    282,261.12x = 63,466,323,379.20
  5. Step 5: Solve for x
    x = 63,466,323,379.20/282,261.12
  6. Step 6: Final answer
    x = 224,849.68

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