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Finding the Fourth Proportional to 298,895.20, 447,686.70 and 259,529.20

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Solution

The fourth proportional to 298,895.20, 447,686.70 and 259,529.20 is: 388,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,895.20 : 447,686.70 = 259,529.20 : x
  2. Step 2: Convert to fraction form
    298,895.20/447,686.70 = 259,529.20/x
  3. Step 3: Cross multiply
    298,895.20x = 447,686.70 × 259,529.20
  4. Step 4: Simplify right side
    298,895.20x = 116,187,771,101.64
  5. Step 5: Solve for x
    x = 116,187,771,101.64/298,895.20
  6. Step 6: Final answer
    x = 388,724.11

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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.