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Finding the Fourth Proportional to 404,927.20, 607,390.80 and 284,204.80

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Solution

The fourth proportional to 404,927.20, 607,390.80 and 284,204.80 is: 426,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,927.20 : 607,390.80 = 284,204.80 : x
  2. Step 2: Convert to fraction form
    404,927.20/607,390.80 = 284,204.80/x
  3. Step 3: Cross multiply
    404,927.20x = 607,390.80 × 284,204.80
  4. Step 4: Simplify right side
    404,927.20x = 172,623,380,835.84
  5. Step 5: Solve for x
    x = 172,623,380,835.84/404,927.20
  6. Step 6: Final answer
    x = 426,307.20

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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.