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Finding the Fourth Proportional to 360,957.67, 497,903.66 and 231,852.68

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Solution

The fourth proportional to 360,957.67, 497,903.66 and 231,852.68 is: 319,816.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,957.67 : 497,903.66 = 231,852.68 : x
  2. Step 2: Convert to fraction form
    360,957.67/497,903.66 = 231,852.68/x
  3. Step 3: Cross multiply
    360,957.67x = 497,903.66 × 231,852.68
  4. Step 4: Simplify right side
    360,957.67x = 115,440,297,040.61
  5. Step 5: Solve for x
    x = 115,440,297,040.61/360,957.67
  6. Step 6: Final answer
    x = 319,816.72

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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.