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Finding the Fourth Proportional to 547,598.16, 821,398.86 and 168,516

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Solution

The fourth proportional to 547,598.16, 821,398.86 and 168,516 is: 252,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,598.16 : 821,398.86 = 168,516 : x
  2. Step 2: Convert to fraction form
    547,598.16/821,398.86 = 168,516/x
  3. Step 3: Cross multiply
    547,598.16x = 821,398.86 × 168,516
  4. Step 4: Simplify right side
    547,598.16x = 138,418,850,291.76
  5. Step 5: Solve for x
    x = 138,418,850,291.76/547,598.16
  6. Step 6: Final answer
    x = 252,774.50

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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.