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Finding the Fourth Proportional to 282,646.80, 423,314.10 and 193,417.20

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Solution

The fourth proportional to 282,646.80, 423,314.10 and 193,417.20 is: 289,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,646.80 : 423,314.10 = 193,417.20 : x
  2. Step 2: Convert to fraction form
    282,646.80/423,314.10 = 193,417.20/x
  3. Step 3: Cross multiply
    282,646.80x = 423,314.10 × 193,417.20
  4. Step 4: Simplify right side
    282,646.80x = 81,876,227,942.52
  5. Step 5: Solve for x
    x = 81,876,227,942.52/282,646.80
  6. Step 6: Final answer
    x = 289,676.83

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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.