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Finding the Fourth Proportional to 305,023.16, 420,947.46 and 175,913.62

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Solution

The fourth proportional to 305,023.16, 420,947.46 and 175,913.62 is: 242,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,023.16 : 420,947.46 = 175,913.62 : x
  2. Step 2: Convert to fraction form
    305,023.16/420,947.46 = 175,913.62/x
  3. Step 3: Cross multiply
    305,023.16x = 420,947.46 × 175,913.62
  4. Step 4: Simplify right side
    305,023.16x = 74,050,391,518.41
  5. Step 5: Solve for x
    x = 74,050,391,518.41/305,023.16
  6. Step 6: Final answer
    x = 242,769.73

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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.