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Finding the Fourth Proportional to 530,175.69, 731,649.96 and 288,458.43

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Solution

The fourth proportional to 530,175.69, 731,649.96 and 288,458.43 is: 398,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,175.69 : 731,649.96 = 288,458.43 : x
  2. Step 2: Convert to fraction form
    530,175.69/731,649.96 = 288,458.43/x
  3. Step 3: Cross multiply
    530,175.69x = 731,649.96 × 288,458.43
  4. Step 4: Simplify right side
    530,175.69x = 211,050,598,771.16
  5. Step 5: Solve for x
    x = 211,050,598,771.16/530,175.69
  6. Step 6: Final answer
    x = 398,076.72

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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.