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Finding the Fourth Proportional to 536,513.10, 804,894.29 and 157,418.52

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Solution

The fourth proportional to 536,513.10, 804,894.29 and 157,418.52 is: 236,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,513.10 : 804,894.29 = 157,418.52 : x
  2. Step 2: Convert to fraction form
    536,513.10/804,894.29 = 157,418.52/x
  3. Step 3: Cross multiply
    536,513.10x = 804,894.29 × 157,418.52
  4. Step 4: Simplify right side
    536,513.10x = 126,705,267,101.16
  5. Step 5: Solve for x
    x = 126,705,267,101.16/536,513.10
  6. Step 6: Final answer
    x = 236,164.35

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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.