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Finding the Fourth Proportional to 461,465.40, 692,198.10 and 455,244.60

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Solution

The fourth proportional to 461,465.40, 692,198.10 and 455,244.60 is: 682,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,465.40 : 692,198.10 = 455,244.60 : x
  2. Step 2: Convert to fraction form
    461,465.40/692,198.10 = 455,244.60/x
  3. Step 3: Cross multiply
    461,465.40x = 692,198.10 × 455,244.60
  4. Step 4: Simplify right side
    461,465.40x = 315,119,447,155.26
  5. Step 5: Solve for x
    x = 315,119,447,155.26/461,465.40
  6. Step 6: Final answer
    x = 682,866.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.