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Finding the Fourth Proportional to 833,264.12, 1,249,954.91 and 412,427

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Solution

The fourth proportional to 833,264.12, 1,249,954.91 and 412,427 is: 618,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,264.12 : 1,249,954.91 = 412,427 : x
  2. Step 2: Convert to fraction form
    833,264.12/1,249,954.91 = 412,427/x
  3. Step 3: Cross multiply
    833,264.12x = 1,249,954.91 × 412,427
  4. Step 4: Simplify right side
    833,264.12x = 515,515,153,666.57
  5. Step 5: Solve for x
    x = 515,515,153,666.57/833,264.12
  6. Step 6: Final answer
    x = 618,669.57

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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.