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Finding the Fourth Proportional to 306,624.13, 460,012.74 and 106,947.38

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Solution

The fourth proportional to 306,624.13, 460,012.74 and 106,947.38 is: 160,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,624.13 : 460,012.74 = 106,947.38 : x
  2. Step 2: Convert to fraction form
    306,624.13/460,012.74 = 106,947.38/x
  3. Step 3: Cross multiply
    306,624.13x = 460,012.74 × 106,947.38
  4. Step 4: Simplify right side
    306,624.13x = 49,197,158,058.60
  5. Step 5: Solve for x
    x = 49,197,158,058.60/306,624.13
  6. Step 6: Final answer
    x = 160,447.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.