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Finding the Fourth Proportional to 686,098.50, 946,815.93 and 417,826.50

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Solution

The fourth proportional to 686,098.50, 946,815.93 and 417,826.50 is: 576,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,098.50 : 946,815.93 = 417,826.50 : x
  2. Step 2: Convert to fraction form
    686,098.50/946,815.93 = 417,826.50/x
  3. Step 3: Cross multiply
    686,098.50x = 946,815.93 × 417,826.50
  4. Step 4: Simplify right side
    686,098.50x = 395,604,786,176.15
  5. Step 5: Solve for x
    x = 395,604,786,176.15/686,098.50
  6. Step 6: Final answer
    x = 576,600.57

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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.