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Finding the Fourth Proportional to 442,353.07, 663,530.01 and 109,929.07

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Solution

The fourth proportional to 442,353.07, 663,530.01 and 109,929.07 is: 164,893.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,353.07 : 663,530.01 = 109,929.07 : x
  2. Step 2: Convert to fraction form
    442,353.07/663,530.01 = 109,929.07/x
  3. Step 3: Cross multiply
    442,353.07x = 663,530.01 × 109,929.07
  4. Step 4: Simplify right side
    442,353.07x = 72,941,236,916.39
  5. Step 5: Solve for x
    x = 72,941,236,916.39/442,353.07
  6. Step 6: Final answer
    x = 164,893.71

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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.