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Finding the Fourth Proportional to 531,044.33, 732,881.99 and 301,642.61

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Solution

The fourth proportional to 531,044.33, 732,881.99 and 301,642.61 is: 416,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,044.33 : 732,881.99 = 301,642.61 : x
  2. Step 2: Convert to fraction form
    531,044.33/732,881.99 = 301,642.61/x
  3. Step 3: Cross multiply
    531,044.33x = 732,881.99 × 301,642.61
  4. Step 4: Simplify right side
    531,044.33x = 221,068,433,375.29
  5. Step 5: Solve for x
    x = 221,068,433,375.29/531,044.33
  6. Step 6: Final answer
    x = 416,289.98

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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.