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Finding the Fourth Proportional to 415,348.59, 573,181.38 and 224,362.00

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Solution

The fourth proportional to 415,348.59, 573,181.38 and 224,362.00 is: 309,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,348.59 : 573,181.38 = 224,362.00 : x
  2. Step 2: Convert to fraction form
    415,348.59/573,181.38 = 224,362.00/x
  3. Step 3: Cross multiply
    415,348.59x = 573,181.38 × 224,362.00
  4. Step 4: Simplify right side
    415,348.59x = 128,600,121,496.04
  5. Step 5: Solve for x
    x = 128,600,121,496.04/415,348.59
  6. Step 6: Final answer
    x = 309,619.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.