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Finding the Fourth Proportional to 508,570.36, 762,550.86 and 171,603.52

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Solution

The fourth proportional to 508,570.36, 762,550.86 and 171,603.52 is: 257,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,570.36 : 762,550.86 = 171,603.52 : x
  2. Step 2: Convert to fraction form
    508,570.36/762,550.86 = 171,603.52/x
  3. Step 3: Cross multiply
    508,570.36x = 762,550.86 × 171,603.52
  4. Step 4: Simplify right side
    508,570.36x = 130,856,411,755.03
  5. Step 5: Solve for x
    x = 130,856,411,755.03/508,570.36
  6. Step 6: Final answer
    x = 257,302.47

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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.