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Finding the Fourth Proportional to 455,419.80, 683,129.70 and 189,043.20

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Solution

The fourth proportional to 455,419.80, 683,129.70 and 189,043.20 is: 283,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,419.80 : 683,129.70 = 189,043.20 : x
  2. Step 2: Convert to fraction form
    455,419.80/683,129.70 = 189,043.20/x
  3. Step 3: Cross multiply
    455,419.80x = 683,129.70 × 189,043.20
  4. Step 4: Simplify right side
    455,419.80x = 129,141,024,503.04
  5. Step 5: Solve for x
    x = 129,141,024,503.04/455,419.80
  6. Step 6: Final answer
    x = 283,564.80

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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.