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Finding the Fourth Proportional to 399,088.80, 598,633.20 and 189,136.80

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Solution

The fourth proportional to 399,088.80, 598,633.20 and 189,136.80 is: 283,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,088.80 : 598,633.20 = 189,136.80 : x
  2. Step 2: Convert to fraction form
    399,088.80/598,633.20 = 189,136.80/x
  3. Step 3: Cross multiply
    399,088.80x = 598,633.20 × 189,136.80
  4. Step 4: Simplify right side
    399,088.80x = 113,223,567,821.76
  5. Step 5: Solve for x
    x = 113,223,567,821.76/399,088.80
  6. Step 6: Final answer
    x = 283,705.20

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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.