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Finding the Fourth Proportional to 538,875.70, 743,653.68 and 297,166.84

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Solution

The fourth proportional to 538,875.70, 743,653.68 and 297,166.84 is: 410,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,875.70 : 743,653.68 = 297,166.84 : x
  2. Step 2: Convert to fraction form
    538,875.70/743,653.68 = 297,166.84/x
  3. Step 3: Cross multiply
    538,875.70x = 743,653.68 × 297,166.84
  4. Step 4: Simplify right side
    538,875.70x = 220,989,214,139.97
  5. Step 5: Solve for x
    x = 220,989,214,139.97/538,875.70
  6. Step 6: Final answer
    x = 410,093.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.