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Finding the Fourth Proportional to 833,262.12, 1,249,951.91 and 412,425

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Solution

The fourth proportional to 833,262.12, 1,249,951.91 and 412,425 is: 618,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,262.12 : 1,249,951.91 = 412,425 : x
  2. Step 2: Convert to fraction form
    833,262.12/1,249,951.91 = 412,425/x
  3. Step 3: Cross multiply
    833,262.12x = 1,249,951.91 × 412,425
  4. Step 4: Simplify right side
    833,262.12x = 515,511,414,419.63
  5. Step 5: Solve for x
    x = 515,511,414,419.63/833,262.12
  6. Step 6: Final answer
    x = 618,666.57

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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.