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Finding the Fourth Proportional to 354,734, 489,533.20 and 264,167.92

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Solution

The fourth proportional to 354,734, 489,533.20 and 264,167.92 is: 364,551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,734 : 489,533.20 = 264,167.92 : x
  2. Step 2: Convert to fraction form
    354,734/489,533.20 = 264,167.92/x
  3. Step 3: Cross multiply
    354,734x = 489,533.20 × 264,167.92
  4. Step 4: Simplify right side
    354,734x = 129,318,967,214.94
  5. Step 5: Solve for x
    x = 129,318,967,214.94/354,734
  6. Step 6: Final answer
    x = 364,551.94

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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.