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Finding the Fourth Proportional to 303,042.69, 454,957.70 and 232,971.21

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Solution

The fourth proportional to 303,042.69, 454,957.70 and 232,971.21 is: 349,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,042.69 : 454,957.70 = 232,971.21 : x
  2. Step 2: Convert to fraction form
    303,042.69/454,957.70 = 232,971.21/x
  3. Step 3: Cross multiply
    303,042.69x = 454,957.70 × 232,971.21
  4. Step 4: Simplify right side
    303,042.69x = 105,992,044,702.96
  5. Step 5: Solve for x
    x = 105,992,044,702.96/303,042.69
  6. Step 6: Final answer
    x = 349,759.45

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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.