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Finding the Fourth Proportional to 359,309.72, 538,693.94 and 217,124.75

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Solution

The fourth proportional to 359,309.72, 538,693.94 and 217,124.75 is: 325,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,309.72 : 538,693.94 = 217,124.75 : x
  2. Step 2: Convert to fraction form
    359,309.72/538,693.94 = 217,124.75/x
  3. Step 3: Cross multiply
    359,309.72x = 538,693.94 × 217,124.75
  4. Step 4: Simplify right side
    359,309.72x = 116,963,788,938.56
  5. Step 5: Solve for x
    x = 116,963,788,938.56/359,309.72
  6. Step 6: Final answer
    x = 325,523.58

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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.