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Finding the Fourth Proportional to 404,715.20, 607,072.80 and 194,763.20

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Solution

The fourth proportional to 404,715.20, 607,072.80 and 194,763.20 is: 292,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,715.20 : 607,072.80 = 194,763.20 : x
  2. Step 2: Convert to fraction form
    404,715.20/607,072.80 = 194,763.20/x
  3. Step 3: Cross multiply
    404,715.20x = 607,072.80 × 194,763.20
  4. Step 4: Simplify right side
    404,715.20x = 118,235,441,160.96
  5. Step 5: Solve for x
    x = 118,235,441,160.96/404,715.20
  6. Step 6: Final answer
    x = 292,144.80

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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.