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Finding the Fourth Proportional to 398,813.58, 598,333.32 and 162,325.98

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Solution

The fourth proportional to 398,813.58, 598,333.32 and 162,325.98 is: 243,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,813.58 : 598,333.32 = 162,325.98 : x
  2. Step 2: Convert to fraction form
    398,813.58/598,333.32 = 162,325.98/x
  3. Step 3: Cross multiply
    398,813.58x = 598,333.32 × 162,325.98
  4. Step 4: Simplify right side
    398,813.58x = 97,125,042,535.65
  5. Step 5: Solve for x
    x = 97,125,042,535.65/398,813.58
  6. Step 6: Final answer
    x = 243,534.94

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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.