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Finding the Fourth Proportional to 282,654.30, 423,847.80 and 164,361.90

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Solution

The fourth proportional to 282,654.30, 423,847.80 and 164,361.90 is: 246,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,654.30 : 423,847.80 = 164,361.90 : x
  2. Step 2: Convert to fraction form
    282,654.30/423,847.80 = 164,361.90/x
  3. Step 3: Cross multiply
    282,654.30x = 423,847.80 × 164,361.90
  4. Step 4: Simplify right side
    282,654.30x = 69,664,429,718.82
  5. Step 5: Solve for x
    x = 69,664,429,718.82/282,654.30
  6. Step 6: Final answer
    x = 246,465.13

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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.