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Finding the Fourth Proportional to 967,833, 1,335,609.54 and 543,897

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Solution

The fourth proportional to 967,833, 1,335,609.54 and 543,897 is: 750,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,833 : 1,335,609.54 = 543,897 : x
  2. Step 2: Convert to fraction form
    967,833/1,335,609.54 = 543,897/x
  3. Step 3: Cross multiply
    967,833x = 1,335,609.54 × 543,897
  4. Step 4: Simplify right side
    967,833x = 726,434,021,977.38
  5. Step 5: Solve for x
    x = 726,434,021,977.38/967,833
  6. Step 6: Final answer
    x = 750,577.86

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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.