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Finding the Fourth Proportional to 404,883.20, 607,497.60 and 194,412.80

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Solution

The fourth proportional to 404,883.20, 607,497.60 and 194,412.80 is: 291,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,883.20 : 607,497.60 = 194,412.80 : x
  2. Step 2: Convert to fraction form
    404,883.20/607,497.60 = 194,412.80/x
  3. Step 3: Cross multiply
    404,883.20x = 607,497.60 × 194,412.80
  4. Step 4: Simplify right side
    404,883.20x = 118,105,309,409.28
  5. Step 5: Solve for x
    x = 118,105,309,409.28/404,883.20
  6. Step 6: Final answer
    x = 291,702.17

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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.