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Finding the Fourth Proportional to 510,572.67, 765,858.65 and 229,761.87

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Solution

The fourth proportional to 510,572.67, 765,858.65 and 229,761.87 is: 344,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,572.67 : 765,858.65 = 229,761.87 : x
  2. Step 2: Convert to fraction form
    510,572.67/765,858.65 = 229,761.87/x
  3. Step 3: Cross multiply
    510,572.67x = 765,858.65 × 229,761.87
  4. Step 4: Simplify right side
    510,572.67x = 175,965,114,430.87
  5. Step 5: Solve for x
    x = 175,965,114,430.87/510,572.67
  6. Step 6: Final answer
    x = 344,642.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.