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Finding the Fourth Proportional to 415,435.06, 573,300.67 and 224,448.40

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Solution

The fourth proportional to 415,435.06, 573,300.67 and 224,448.40 is: 309,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,435.06 : 573,300.67 = 224,448.40 : x
  2. Step 2: Convert to fraction form
    415,435.06/573,300.67 = 224,448.40/x
  3. Step 3: Cross multiply
    415,435.06x = 573,300.67 × 224,448.40
  4. Step 4: Simplify right side
    415,435.06x = 128,676,415,233.93
  5. Step 5: Solve for x
    x = 128,676,415,233.93/415,435.06
  6. Step 6: Final answer
    x = 309,738.94

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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.