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Finding the Fourth Proportional to 510,938.25, 705,094.97 and 296,202.79

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Solution

The fourth proportional to 510,938.25, 705,094.97 and 296,202.79 is: 408,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,938.25 : 705,094.97 = 296,202.79 : x
  2. Step 2: Convert to fraction form
    510,938.25/705,094.97 = 296,202.79/x
  3. Step 3: Cross multiply
    510,938.25x = 705,094.97 × 296,202.79
  4. Step 4: Simplify right side
    510,938.25x = 208,851,097,328.97
  5. Step 5: Solve for x
    x = 208,851,097,328.97/510,938.25
  6. Step 6: Final answer
    x = 408,759.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.