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Finding the Fourth Proportional to 510,718.72, 704,684.58 and 295,845.88

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Solution

The fourth proportional to 510,718.72, 704,684.58 and 295,845.88 is: 408,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,718.72 : 704,684.58 = 295,845.88 : x
  2. Step 2: Convert to fraction form
    510,718.72/704,684.58 = 295,845.88/x
  3. Step 3: Cross multiply
    510,718.72x = 704,684.58 × 295,845.88
  4. Step 4: Simplify right side
    510,718.72x = 208,478,029,692.53
  5. Step 5: Solve for x
    x = 208,478,029,692.53/510,718.72
  6. Step 6: Final answer
    x = 408,205.19

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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.