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Finding the Fourth Proportional to 442,052.40, 663,078.56 and 161,569.64

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Solution

The fourth proportional to 442,052.40, 663,078.56 and 161,569.64 is: 242,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,052.40 : 663,078.56 = 161,569.64 : x
  2. Step 2: Convert to fraction form
    442,052.40/663,078.56 = 161,569.64/x
  3. Step 3: Cross multiply
    442,052.40x = 663,078.56 × 161,569.64
  4. Step 4: Simplify right side
    442,052.40x = 107,133,364,230.92
  5. Step 5: Solve for x
    x = 107,133,364,230.92/442,052.40
  6. Step 6: Final answer
    x = 242,354.45

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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.