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Finding the Fourth Proportional to 320,938.68, 442,902.30 and 175,750.58

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Solution

The fourth proportional to 320,938.68, 442,902.30 and 175,750.58 is: 242,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,938.68 : 442,902.30 = 175,750.58 : x
  2. Step 2: Convert to fraction form
    320,938.68/442,902.30 = 175,750.58/x
  3. Step 3: Cross multiply
    320,938.68x = 442,902.30 × 175,750.58
  4. Step 4: Simplify right side
    320,938.68x = 77,840,336,108.33
  5. Step 5: Solve for x
    x = 77,840,336,108.33/320,938.68
  6. Step 6: Final answer
    x = 242,539.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.