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Finding the Fourth Proportional to 536,032.84, 739,734.52 and 294,325.60

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Solution

The fourth proportional to 536,032.84, 739,734.52 and 294,325.60 is: 406,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,032.84 : 739,734.52 = 294,325.60 : x
  2. Step 2: Convert to fraction form
    536,032.84/739,734.52 = 294,325.60/x
  3. Step 3: Cross multiply
    536,032.84x = 739,734.52 × 294,325.60
  4. Step 4: Simplify right side
    536,032.84x = 217,722,806,439.71
  5. Step 5: Solve for x
    x = 217,722,806,439.71/536,032.84
  6. Step 6: Final answer
    x = 406,174.38

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Why These Related Problems?

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