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Finding the Fourth Proportional to 308,298.18, 462,012.60 and 146,020.08

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Solution

The fourth proportional to 308,298.18, 462,012.60 and 146,020.08 is: 218,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,298.18 : 462,012.60 = 146,020.08 : x
  2. Step 2: Convert to fraction form
    308,298.18/462,012.60 = 146,020.08/x
  3. Step 3: Cross multiply
    308,298.18x = 462,012.60 × 146,020.08
  4. Step 4: Simplify right side
    308,298.18x = 67,463,116,813.01
  5. Step 5: Solve for x
    x = 67,463,116,813.01/308,298.18
  6. Step 6: Final answer
    x = 218,824.25

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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.