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Finding the Fourth Proportional to 686,098.13, 946,815.41 and 417,826.13

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Solution

The fourth proportional to 686,098.13, 946,815.41 and 417,826.13 is: 576,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,098.13 : 946,815.41 = 417,826.13 : x
  2. Step 2: Convert to fraction form
    686,098.13/946,815.41 = 417,826.13/x
  3. Step 3: Cross multiply
    686,098.13x = 946,815.41 × 417,826.13
  4. Step 4: Simplify right side
    686,098.13x = 395,604,214,895.15
  5. Step 5: Solve for x
    x = 395,604,214,895.15/686,098.13
  6. Step 6: Final answer
    x = 576,600.05

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1.5x scale

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.