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Finding the Fourth Proportional to 306,835.56, 460,326.84 and 96,473.49

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Solution

The fourth proportional to 306,835.56, 460,326.84 and 96,473.49 is: 144,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,835.56 : 460,326.84 = 96,473.49 : x
  2. Step 2: Convert to fraction form
    306,835.56/460,326.84 = 96,473.49/x
  3. Step 3: Cross multiply
    306,835.56x = 460,326.84 × 96,473.49
  4. Step 4: Simplify right side
    306,835.56x = 44,409,336,795.47
  5. Step 5: Solve for x
    x = 44,409,336,795.47/306,835.56
  6. Step 6: Final answer
    x = 144,733.34

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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.