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Finding the Fourth Proportional to 686,778.88, 947,435.06 and 445,139.68

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Solution

The fourth proportional to 686,778.88, 947,435.06 and 445,139.68 is: 614,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,778.88 : 947,435.06 = 445,139.68 : x
  2. Step 2: Convert to fraction form
    686,778.88/947,435.06 = 445,139.68/x
  3. Step 3: Cross multiply
    686,778.88x = 947,435.06 × 445,139.68
  4. Step 4: Simplify right side
    686,778.88x = 421,740,939,429.18
  5. Step 5: Solve for x
    x = 421,740,939,429.18/686,778.88
  6. Step 6: Final answer
    x = 614,085.48

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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.