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Finding the Fourth Proportional to 530,876.84, 796,642.50 and 215,336.48

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Solution

The fourth proportional to 530,876.84, 796,642.50 and 215,336.48 is: 323,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,876.84 : 796,642.50 = 215,336.48 : x
  2. Step 2: Convert to fraction form
    530,876.84/796,642.50 = 215,336.48/x
  3. Step 3: Cross multiply
    530,876.84x = 796,642.50 × 215,336.48
  4. Step 4: Simplify right side
    530,876.84x = 171,546,191,768.40
  5. Step 5: Solve for x
    x = 171,546,191,768.40/530,876.84
  6. Step 6: Final answer
    x = 323,137.46

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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.