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Finding the Fourth Proportional to 415,750.66, 573,735.76 and 224,764

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Solution

The fourth proportional to 415,750.66, 573,735.76 and 224,764 is: 310,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,750.66 : 573,735.76 = 224,764 : x
  2. Step 2: Convert to fraction form
    415,750.66/573,735.76 = 224,764/x
  3. Step 3: Cross multiply
    415,750.66x = 573,735.76 × 224,764
  4. Step 4: Simplify right side
    415,750.66x = 128,955,144,360.64
  5. Step 5: Solve for x
    x = 128,955,144,360.64/415,750.66
  6. Step 6: Final answer
    x = 310,174.24

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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.