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Finding the Fourth Proportional to 310,162.34, 428,186.58 and 208,721.18

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Solution

The fourth proportional to 310,162.34, 428,186.58 and 208,721.18 is: 288,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,162.34 : 428,186.58 = 208,721.18 : x
  2. Step 2: Convert to fraction form
    310,162.34/428,186.58 = 208,721.18/x
  3. Step 3: Cross multiply
    310,162.34x = 428,186.58 × 208,721.18
  4. Step 4: Simplify right side
    310,162.34x = 89,371,608,237.76
  5. Step 5: Solve for x
    x = 89,371,608,237.76/310,162.34
  6. Step 6: Final answer
    x = 288,144.62

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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.