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Finding the Fourth Proportional to 1,410,915.92, 1,947,008.67 and 837,941.36

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Solution

The fourth proportional to 1,410,915.92, 1,947,008.67 and 837,941.36 is: 1,156,326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,915.92 : 1,947,008.67 = 837,941.36 : x
  2. Step 2: Convert to fraction form
    1,410,915.92/1,947,008.67 = 837,941.36/x
  3. Step 3: Cross multiply
    1,410,915.92x = 1,947,008.67 × 837,941.36
  4. Step 4: Simplify right side
    1,410,915.92x = 1,631,479,092,871.59
  5. Step 5: Solve for x
    x = 1,631,479,092,871.59/1,410,915.92
  6. Step 6: Final answer
    x = 1,156,326.23

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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.