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Finding the Fourth Proportional to 288,438.40, 432,657.60 and 164,022.40

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Solution

The fourth proportional to 288,438.40, 432,657.60 and 164,022.40 is: 246,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,438.40 : 432,657.60 = 164,022.40 : x
  2. Step 2: Convert to fraction form
    288,438.40/432,657.60 = 164,022.40/x
  3. Step 3: Cross multiply
    288,438.40x = 432,657.60 × 164,022.40
  4. Step 4: Simplify right side
    288,438.40x = 70,965,537,930.24
  5. Step 5: Solve for x
    x = 70,965,537,930.24/288,438.40
  6. Step 6: Final answer
    x = 246,033.60

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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.