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Finding the Fourth Proportional to 354,513.24, 489,234.15 and 193,368.33

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Solution

The fourth proportional to 354,513.24, 489,234.15 and 193,368.33 is: 266,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,513.24 : 489,234.15 = 193,368.33 : x
  2. Step 2: Convert to fraction form
    354,513.24/489,234.15 = 193,368.33/x
  3. Step 3: Cross multiply
    354,513.24x = 489,234.15 × 193,368.33
  4. Step 4: Simplify right side
    354,513.24x = 94,602,390,564.47
  5. Step 5: Solve for x
    x = 94,602,390,564.47/354,513.24
  6. Step 6: Final answer
    x = 266,851.50

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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.