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Finding the Fourth Proportional to 382,337.16, 573,511.16 and 145,692.80

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Solution

The fourth proportional to 382,337.16, 573,511.16 and 145,692.80 is: 218,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,337.16 : 573,511.16 = 145,692.80 : x
  2. Step 2: Convert to fraction form
    382,337.16/573,511.16 = 145,692.80/x
  3. Step 3: Cross multiply
    382,337.16x = 573,511.16 × 145,692.80
  4. Step 4: Simplify right side
    382,337.16x = 83,556,446,731.65
  5. Step 5: Solve for x
    x = 83,556,446,731.65/382,337.16
  6. Step 6: Final answer
    x = 218,541.27

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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.