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Finding the Fourth Proportional to 531,515.71, 797,434.53 and 189,914.41

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Solution

The fourth proportional to 531,515.71, 797,434.53 and 189,914.41 is: 284,929.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,515.71 : 797,434.53 = 189,914.41 : x
  2. Step 2: Convert to fraction form
    531,515.71/797,434.53 = 189,914.41/x
  3. Step 3: Cross multiply
    531,515.71x = 797,434.53 × 189,914.41
  4. Step 4: Simplify right side
    531,515.71x = 151,444,308,278.58
  5. Step 5: Solve for x
    x = 151,444,308,278.58/531,515.71
  6. Step 6: Final answer
    x = 284,929.13

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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.