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Finding the Fourth Proportional to 531,814.36, 733,908.51 and 290,098.01

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Solution

The fourth proportional to 531,814.36, 733,908.51 and 290,098.01 is: 400,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,814.36 : 733,908.51 = 290,098.01 : x
  2. Step 2: Convert to fraction form
    531,814.36/733,908.51 = 290,098.01/x
  3. Step 3: Cross multiply
    531,814.36x = 733,908.51 × 290,098.01
  4. Step 4: Simplify right side
    531,814.36x = 212,905,398,273.07
  5. Step 5: Solve for x
    x = 212,905,398,273.07/531,814.36
  6. Step 6: Final answer
    x = 400,337.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.