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Finding the Fourth Proportional to 531,814.74, 733,909.01 and 290,098.38

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Solution

The fourth proportional to 531,814.74, 733,909.01 and 290,098.38 is: 400,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,814.74 : 733,909.01 = 290,098.38 : x
  2. Step 2: Convert to fraction form
    531,814.74/733,909.01 = 290,098.38/x
  3. Step 3: Cross multiply
    531,814.74x = 733,909.01 × 290,098.38
  4. Step 4: Simplify right side
    531,814.74x = 212,905,814,868.40
  5. Step 5: Solve for x
    x = 212,905,814,868.40/531,814.74
  6. Step 6: Final answer
    x = 400,338.31

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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.