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Finding the Fourth Proportional to 510,648.62, 704,588.28 and 295,775.88

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Solution

The fourth proportional to 510,648.62, 704,588.28 and 295,775.88 is: 408,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,648.62 : 704,588.28 = 295,775.88 : x
  2. Step 2: Convert to fraction form
    510,648.62/704,588.28 = 295,775.88/x
  3. Step 3: Cross multiply
    510,648.62x = 704,588.28 × 295,775.88
  4. Step 4: Simplify right side
    510,648.62x = 208,400,218,554.69
  5. Step 5: Solve for x
    x = 208,400,218,554.69/510,648.62
  6. Step 6: Final answer
    x = 408,108.85

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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.