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Finding the Fourth Proportional to 455,999.40, 683,999.10 and 171,689.40

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Solution

The fourth proportional to 455,999.40, 683,999.10 and 171,689.40 is: 257,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,999.40 : 683,999.10 = 171,689.40 : x
  2. Step 2: Convert to fraction form
    455,999.40/683,999.10 = 171,689.40/x
  3. Step 3: Cross multiply
    455,999.40x = 683,999.10 × 171,689.40
  4. Step 4: Simplify right side
    455,999.40x = 117,435,395,079.54
  5. Step 5: Solve for x
    x = 117,435,395,079.54/455,999.40
  6. Step 6: Final answer
    x = 257,534.10

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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.