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Finding the Fourth Proportional to 308,500.16, 462,094.01 and 182,004.08

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Solution

The fourth proportional to 308,500.16, 462,094.01 and 182,004.08 is: 272,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,500.16 : 462,094.01 = 182,004.08 : x
  2. Step 2: Convert to fraction form
    308,500.16/462,094.01 = 182,004.08/x
  3. Step 3: Cross multiply
    308,500.16x = 462,094.01 × 182,004.08
  4. Step 4: Simplify right side
    308,500.16x = 84,102,994,253.54
  5. Step 5: Solve for x
    x = 84,102,994,253.54/308,500.16
  6. Step 6: Final answer
    x = 272,618.96

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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.