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Finding the Fourth Proportional to 308,819.94, 463,225.05 and 98,456.46

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Solution

The fourth proportional to 308,819.94, 463,225.05 and 98,456.46 is: 147,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,819.94 : 463,225.05 = 98,456.46 : x
  2. Step 2: Convert to fraction form
    308,819.94/463,225.05 = 98,456.46/x
  3. Step 3: Cross multiply
    308,819.94x = 463,225.05 × 98,456.46
  4. Step 4: Simplify right side
    308,819.94x = 45,607,498,606.32
  5. Step 5: Solve for x
    x = 45,607,498,606.32/308,819.94
  6. Step 6: Final answer
    x = 147,683.14

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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.