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Finding the Fourth Proportional to 455,965.40, 683,948.10 and 418,640.60

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Solution

The fourth proportional to 455,965.40, 683,948.10 and 418,640.60 is: 627,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,965.40 : 683,948.10 = 418,640.60 : x
  2. Step 2: Convert to fraction form
    455,965.40/683,948.10 = 418,640.60/x
  3. Step 3: Cross multiply
    455,965.40x = 683,948.10 × 418,640.60
  4. Step 4: Simplify right side
    455,965.40x = 286,328,442,952.86
  5. Step 5: Solve for x
    x = 286,328,442,952.86/455,965.40
  6. Step 6: Final answer
    x = 627,960.90

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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.