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Finding the Fourth Proportional to 455,513.80, 683,286.90 and 139,970.20

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Solution

The fourth proportional to 455,513.80, 683,286.90 and 139,970.20 is: 209,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,513.80 : 683,286.90 = 139,970.20 : x
  2. Step 2: Convert to fraction form
    455,513.80/683,286.90 = 139,970.20/x
  3. Step 3: Cross multiply
    455,513.80x = 683,286.90 × 139,970.20
  4. Step 4: Simplify right side
    455,513.80x = 95,639,804,050.38
  5. Step 5: Solve for x
    x = 95,639,804,050.38/455,513.80
  6. Step 6: Final answer
    x = 209,960.28

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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.