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Finding the Fourth Proportional to 298,562.84, 447,470.78 and 235,132.45

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Solution

The fourth proportional to 298,562.84, 447,470.78 and 235,132.45 is: 352,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,562.84 : 447,470.78 = 235,132.45 : x
  2. Step 2: Convert to fraction form
    298,562.84/447,470.78 = 235,132.45/x
  3. Step 3: Cross multiply
    298,562.84x = 447,470.78 × 235,132.45
  4. Step 4: Simplify right side
    298,562.84x = 105,214,901,392.64
  5. Step 5: Solve for x
    x = 105,214,901,392.64/298,562.84
  6. Step 6: Final answer
    x = 352,404.54

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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.