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Finding the Fourth Proportional to 939,384, 1,409,335.20 and 274,536

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Solution

The fourth proportional to 939,384, 1,409,335.20 and 274,536 is: 411,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    939,384 : 1,409,335.20 = 274,536 : x
  2. Step 2: Convert to fraction form
    939,384/1,409,335.20 = 274,536/x
  3. Step 3: Cross multiply
    939,384x = 1,409,335.20 × 274,536
  4. Step 4: Simplify right side
    939,384x = 386,913,248,467.20
  5. Step 5: Solve for x
    x = 386,913,248,467.20/939,384
  6. Step 6: Final answer
    x = 411,879.75

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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.