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Finding the Fourth Proportional to 510,708.49, 760,033.85 and 493,680.57

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Solution

The fourth proportional to 510,708.49, 760,033.85 and 493,680.57 is: 734,692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,708.49 : 760,033.85 = 493,680.57 : x
  2. Step 2: Convert to fraction form
    510,708.49/760,033.85 = 493,680.57/x
  3. Step 3: Cross multiply
    510,708.49x = 760,033.85 × 493,680.57
  4. Step 4: Simplify right side
    510,708.49x = 375,213,943,938.19
  5. Step 5: Solve for x
    x = 375,213,943,938.19/510,708.49
  6. Step 6: Final answer
    x = 734,692.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.