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Finding the Fourth Proportional to 308,529.83, 462,828.76 and 98,118.56

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Solution

The fourth proportional to 308,529.83, 462,828.76 and 98,118.56 is: 147,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,529.83 : 462,828.76 = 98,118.56 : x
  2. Step 2: Convert to fraction form
    308,529.83/462,828.76 = 98,118.56/x
  3. Step 3: Cross multiply
    308,529.83x = 462,828.76 × 98,118.56
  4. Step 4: Simplify right side
    308,529.83x = 45,412,088,898.35
  5. Step 5: Solve for x
    x = 45,412,088,898.35/308,529.83
  6. Step 6: Final answer
    x = 147,188.65

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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.