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Finding the Fourth Proportional to 415,892.88, 573,929.28 and 224,903.52

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Solution

The fourth proportional to 415,892.88, 573,929.28 and 224,903.52 is: 310,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,892.88 : 573,929.28 = 224,903.52 : x
  2. Step 2: Convert to fraction form
    415,892.88/573,929.28 = 224,903.52/x
  3. Step 3: Cross multiply
    415,892.88x = 573,929.28 × 224,903.52
  4. Step 4: Simplify right side
    415,892.88x = 129,078,715,303.07
  5. Step 5: Solve for x
    x = 129,078,715,303.07/415,892.88
  6. Step 6: Final answer
    x = 310,365.29

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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.