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Finding the Fourth Proportional to 455,098.40, 682,094.10 and 322,017.02

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Solution

The fourth proportional to 455,098.40, 682,094.10 and 322,017.02 is: 482,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,098.40 : 682,094.10 = 322,017.02 : x
  2. Step 2: Convert to fraction form
    455,098.40/682,094.10 = 322,017.02/x
  3. Step 3: Cross multiply
    455,098.40x = 682,094.10 × 322,017.02
  4. Step 4: Simplify right side
    455,098.40x = 219,645,909,441.58
  5. Step 5: Solve for x
    x = 219,645,909,441.58/455,098.40
  6. Step 6: Final answer
    x = 482,633.89

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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.