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Finding the Fourth Proportional to 1,825,038, 2,737,557 and 495,342

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Solution

The fourth proportional to 1,825,038, 2,737,557 and 495,342 is: 743,013

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825,038 : 2,737,557 = 495,342 : x
  2. Step 2: Convert to fraction form
    1,825,038/2,737,557 = 495,342/x
  3. Step 3: Cross multiply
    1,825,038x = 2,737,557 × 495,342
  4. Step 4: Simplify right side
    1,825,038x = 1,356,026,959,494
  5. Step 5: Solve for x
    x = 1,356,026,959,494/1,825,038
  6. Step 6: Final answer
    x = 743,013

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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.