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Finding the Fourth Proportional to 334,614.20, 501,921.30 and 307,657.40

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Solution

The fourth proportional to 334,614.20, 501,921.30 and 307,657.40 is: 461,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,614.20 : 501,921.30 = 307,657.40 : x
  2. Step 2: Convert to fraction form
    334,614.20/501,921.30 = 307,657.40/x
  3. Step 3: Cross multiply
    334,614.20x = 501,921.30 × 307,657.40
  4. Step 4: Simplify right side
    334,614.20x = 154,419,802,162.62
  5. Step 5: Solve for x
    x = 154,419,802,162.62/334,614.20
  6. Step 6: Final answer
    x = 461,486.10

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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.