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Finding the Fourth Proportional to 415,708.84, 573,674.54 and 224,720.52

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Solution

The fourth proportional to 415,708.84, 573,674.54 and 224,720.52 is: 310,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,708.84 : 573,674.54 = 224,720.52 : x
  2. Step 2: Convert to fraction form
    415,708.84/573,674.54 = 224,720.52/x
  3. Step 3: Cross multiply
    415,708.84x = 573,674.54 × 224,720.52
  4. Step 4: Simplify right side
    415,708.84x = 128,916,440,939.56
  5. Step 5: Solve for x
    x = 128,916,440,939.56/415,708.84
  6. Step 6: Final answer
    x = 310,112.34

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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.