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Finding the Fourth Proportional to 669,999.30, 924,744.86 and 412,097.91

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Solution

The fourth proportional to 669,999.30, 924,744.86 and 412,097.91 is: 568,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,999.30 : 924,744.86 = 412,097.91 : x
  2. Step 2: Convert to fraction form
    669,999.30/924,744.86 = 412,097.91/x
  3. Step 3: Cross multiply
    669,999.30x = 924,744.86 × 412,097.91
  4. Step 4: Simplify right side
    669,999.30x = 381,085,424,089.24
  5. Step 5: Solve for x
    x = 381,085,424,089.24/669,999.30
  6. Step 6: Final answer
    x = 568,784.81

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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.