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Finding the Fourth Proportional to 398,281.76, 597,671.78 and 161,624.45

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Solution

The fourth proportional to 398,281.76, 597,671.78 and 161,624.45 is: 242,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,281.76 : 597,671.78 = 161,624.45 : x
  2. Step 2: Convert to fraction form
    398,281.76/597,671.78 = 161,624.45/x
  3. Step 3: Cross multiply
    398,281.76x = 597,671.78 × 161,624.45
  4. Step 4: Simplify right side
    398,281.76x = 96,598,370,956.31
  5. Step 5: Solve for x
    x = 96,598,370,956.31/398,281.76
  6. Step 6: Final answer
    x = 242,537.77

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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.