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Finding the Fourth Proportional to 415,758.54, 573,746.84 and 224,771.88

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Solution

The fourth proportional to 415,758.54, 573,746.84 and 224,771.88 is: 310,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,758.54 : 573,746.84 = 224,771.88 : x
  2. Step 2: Convert to fraction form
    415,758.54/573,746.84 = 224,771.88/x
  3. Step 3: Cross multiply
    415,758.54x = 573,746.84 × 224,771.88
  4. Step 4: Simplify right side
    415,758.54x = 128,962,154,747.00
  5. Step 5: Solve for x
    x = 128,962,154,747.00/415,758.54
  6. Step 6: Final answer
    x = 310,185.22

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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.