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Finding the Fourth Proportional to 308,094.60, 461,117.90 and 223,614.60

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Solution

The fourth proportional to 308,094.60, 461,117.90 and 223,614.60 is: 334,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,094.60 : 461,117.90 = 223,614.60 : x
  2. Step 2: Convert to fraction form
    308,094.60/461,117.90 = 223,614.60/x
  3. Step 3: Cross multiply
    308,094.60x = 461,117.90 × 223,614.60
  4. Step 4: Simplify right side
    308,094.60x = 103,112,694,761.34
  5. Step 5: Solve for x
    x = 103,112,694,761.34/308,094.60
  6. Step 6: Final answer
    x = 334,678.68

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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.