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Finding the Fourth Proportional to 433,892.40, 650,838.60 and 307,921.20

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Solution

The fourth proportional to 433,892.40, 650,838.60 and 307,921.20 is: 461,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,892.40 : 650,838.60 = 307,921.20 : x
  2. Step 2: Convert to fraction form
    433,892.40/650,838.60 = 307,921.20/x
  3. Step 3: Cross multiply
    433,892.40x = 650,838.60 × 307,921.20
  4. Step 4: Simplify right side
    433,892.40x = 200,407,002,718.32
  5. Step 5: Solve for x
    x = 200,407,002,718.32/433,892.40
  6. Step 6: Final answer
    x = 461,881.80

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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.