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Finding the Fourth Proportional to 298,465.75, 412,156.40 and 189,605.24

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Solution

The fourth proportional to 298,465.75, 412,156.40 and 189,605.24 is: 261,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,465.75 : 412,156.40 = 189,605.24 : x
  2. Step 2: Convert to fraction form
    298,465.75/412,156.40 = 189,605.24/x
  3. Step 3: Cross multiply
    298,465.75x = 412,156.40 × 189,605.24
  4. Step 4: Simplify right side
    298,465.75x = 78,147,013,139.54
  5. Step 5: Solve for x
    x = 78,147,013,139.54/298,465.75
  6. Step 6: Final answer
    x = 261,829.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.