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Finding the Fourth Proportional to 398,853.80, 598,280.70 and 146,133.80

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Solution

The fourth proportional to 398,853.80, 598,280.70 and 146,133.80 is: 219,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,853.80 : 598,280.70 = 146,133.80 : x
  2. Step 2: Convert to fraction form
    398,853.80/598,280.70 = 146,133.80/x
  3. Step 3: Cross multiply
    398,853.80x = 598,280.70 × 146,133.80
  4. Step 4: Simplify right side
    398,853.80x = 87,429,032,157.66
  5. Step 5: Solve for x
    x = 87,429,032,157.66/398,853.80
  6. Step 6: Final answer
    x = 219,200.70

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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.