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Finding the Fourth Proportional to 510,301.38, 704,170.16 and 295,455.99

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Solution

The fourth proportional to 510,301.38, 704,170.16 and 295,455.99 is: 407,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,301.38 : 704,170.16 = 295,455.99 : x
  2. Step 2: Convert to fraction form
    510,301.38/704,170.16 = 295,455.99/x
  3. Step 3: Cross multiply
    510,301.38x = 704,170.16 × 295,455.99
  4. Step 4: Simplify right side
    510,301.38x = 208,051,290,273.98
  5. Step 5: Solve for x
    x = 208,051,290,273.98/510,301.38
  6. Step 6: Final answer
    x = 407,702.78

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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.