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Finding the Fourth Proportional to 306,724.40, 460,054.20 and 96,351.20

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Solution

The fourth proportional to 306,724.40, 460,054.20 and 96,351.20 is: 144,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,724.40 : 460,054.20 = 96,351.20 : x
  2. Step 2: Convert to fraction form
    306,724.40/460,054.20 = 96,351.20/x
  3. Step 3: Cross multiply
    306,724.40x = 460,054.20 × 96,351.20
  4. Step 4: Simplify right side
    306,724.40x = 44,326,774,235.04
  5. Step 5: Solve for x
    x = 44,326,774,235.04/306,724.40
  6. Step 6: Final answer
    x = 144,516.62

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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.