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Finding the Fourth Proportional to 686,124.92, 946,541.88 and 414,105.86

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Solution

The fourth proportional to 686,124.92, 946,541.88 and 414,105.86 is: 571,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,124.92 : 946,541.88 = 414,105.86 : x
  2. Step 2: Convert to fraction form
    686,124.92/946,541.88 = 414,105.86/x
  3. Step 3: Cross multiply
    686,124.92x = 946,541.88 × 414,105.86
  4. Step 4: Simplify right side
    686,124.92x = 391,968,541,609.77
  5. Step 5: Solve for x
    x = 391,968,541,609.77/686,124.92
  6. Step 6: Final answer
    x = 571,278.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.