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Finding the Fourth Proportional to 510,644.50, 704,582.60 and 295,771.74

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Solution

The fourth proportional to 510,644.50, 704,582.60 and 295,771.74 is: 408,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,644.50 : 704,582.60 = 295,771.74 : x
  2. Step 2: Convert to fraction form
    510,644.50/704,582.60 = 295,771.74/x
  3. Step 3: Cross multiply
    510,644.50x = 704,582.60 × 295,771.74
  4. Step 4: Simplify right side
    510,644.50x = 208,395,621,575.72
  5. Step 5: Solve for x
    x = 208,395,621,575.72/510,644.50
  6. Step 6: Final answer
    x = 408,103.14

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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.