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Finding the Fourth Proportional to 305,319.87, 421,306.47 and 176,257.85

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Solution

The fourth proportional to 305,319.87, 421,306.47 and 176,257.85 is: 243,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,319.87 : 421,306.47 = 176,257.85 : x
  2. Step 2: Convert to fraction form
    305,319.87/421,306.47 = 176,257.85/x
  3. Step 3: Cross multiply
    305,319.87x = 421,306.47 × 176,257.85
  4. Step 4: Simplify right side
    305,319.87x = 74,258,570,486.76
  5. Step 5: Solve for x
    x = 74,258,570,486.76/305,319.87
  6. Step 6: Final answer
    x = 243,215.65

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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.