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Finding the Fourth Proportional to 510,582.41, 704,698.20 and 295,722.41

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Solution

The fourth proportional to 510,582.41, 704,698.20 and 295,722.41 is: 408,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,582.41 : 704,698.20 = 295,722.41 : x
  2. Step 2: Convert to fraction form
    510,582.41/704,698.20 = 295,722.41/x
  3. Step 3: Cross multiply
    510,582.41x = 704,698.20 × 295,722.41
  4. Step 4: Simplify right side
    510,582.41x = 208,395,046,503.17
  5. Step 5: Solve for x
    x = 208,395,046,503.17/510,582.41
  6. Step 6: Final answer
    x = 408,151.64

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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.