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Finding the Fourth Proportional to 685,889.55, 946,577.43 and 414,023.58

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Solution

The fourth proportional to 685,889.55, 946,577.43 and 414,023.58 is: 571,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,889.55 : 946,577.43 = 414,023.58 : x
  2. Step 2: Convert to fraction form
    685,889.55/946,577.43 = 414,023.58/x
  3. Step 3: Cross multiply
    685,889.55x = 946,577.43 × 414,023.58
  4. Step 4: Simplify right side
    685,889.55x = 391,905,376,315.80
  5. Step 5: Solve for x
    x = 391,905,376,315.80/685,889.55
  6. Step 6: Final answer
    x = 571,382.63

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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.