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Finding the Fourth Proportional to 354,458.36, 489,156.38 and 193,312.12

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Solution

The fourth proportional to 354,458.36, 489,156.38 and 193,312.12 is: 266,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,458.36 : 489,156.38 = 193,312.12 : x
  2. Step 2: Convert to fraction form
    354,458.36/489,156.38 = 193,312.12/x
  3. Step 3: Cross multiply
    354,458.36x = 489,156.38 × 193,312.12
  4. Step 4: Simplify right side
    354,458.36x = 94,559,856,829.33
  5. Step 5: Solve for x
    x = 94,559,856,829.33/354,458.36
  6. Step 6: Final answer
    x = 266,772.82

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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.