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Finding the Fourth Proportional to 1,233,078, 1,849,617 and 346,614

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Solution

The fourth proportional to 1,233,078, 1,849,617 and 346,614 is: 519,921

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,078 : 1,849,617 = 346,614 : x
  2. Step 2: Convert to fraction form
    1,233,078/1,849,617 = 346,614/x
  3. Step 3: Cross multiply
    1,233,078x = 1,849,617 × 346,614
  4. Step 4: Simplify right side
    1,233,078x = 641,103,146,838
  5. Step 5: Solve for x
    x = 641,103,146,838/1,233,078
  6. Step 6: Final answer
    x = 519,921

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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.